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gigi1103

  • one year ago

Each car in a rental fleet is either red or white, and there are 75 cars total. There are three more white than twice the number of red cars. How many cars are white?

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  1. gigi1103
    • one year ago
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    @beckyg111

  2. gigi1103
    • one year ago
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    @Kitten_is_back

  3. gigi1103
    • one year ago
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    @Nnesha

  4. gigi1103
    • one year ago
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    help plz

  5. Vocaloid
    • one year ago
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    well, let's let r = number of red cars and w = number of white cars we can write two equations using the information in the problem r + w = 75 w = 2r + 3 know where to go from here?

  6. gigi1103
    • one year ago
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    ?

  7. Vocaloid
    • one year ago
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    well, ok, I'll walk you through step by step like the problem says, there are 75 total cars, so r + w = 75 does that make sense?

  8. gigi1103
    • one year ago
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    yes

  9. Vocaloid
    • one year ago
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    the problem also says "there are three more white than twice the number of red cars" so w = 2r + 3 with me so far?

  10. gigi1103
    • one year ago
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    yup

  11. Vocaloid
    • one year ago
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    so we put them together: r + w = 75 w = 2r + 3 now, the second equation says w = 2r + 3, so we can replace "w" with "2r+3" whenever we see w now, going back to the first equation we have: r + w = 75 r + (2r + 3) = 75 does that make sense?

  12. gigi1103
    • one year ago
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    yeah still with ya

  13. Vocaloid
    • one year ago
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    ok, so we have r + (2r + 3) = 75 can you solve for r now?

  14. gigi1103
    • one year ago
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    so i divide by two

  15. Vocaloid
    • one year ago
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    uh, not quite we have r + (2r + 3) = 75 let's combine the r's together r + 2r = ?

  16. gigi1103
    • one year ago
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    what do you mean?

  17. Vocaloid
    • one year ago
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    just add them together r + 2r = ?

  18. gigi1103
    • one year ago
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    dang how?

  19. gigi1103
    • one year ago
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    they are numbers tho

  20. Vocaloid
    • one year ago
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    r is just a letter that takes the place of a number think of it this way: one dog + two dogs = three dogs one r + 2r = 3r does that make sense?

  21. gigi1103
    • one year ago
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    yeah

  22. gigi1103
    • one year ago
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    so its 3rs now?

  23. gigi1103
    • one year ago
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    help?

  24. Vocaloid
    • one year ago
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    right... r + 2r = 3r so far we have: 3r + 3 = 75 now subtract 3 from each side, what do you get?

  25. gigi1103
    • one year ago
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    these are the answers A) 24 B) 47 C) 48 D) 51

  26. Vocaloid
    • one year ago
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    3r + 3 = 75 now subtract 3 from each side, what do you get?

  27. gigi1103
    • one year ago
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    how do you subtract on two sides?

  28. gigi1103
    • one year ago
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    ???????????

  29. Vocaloid
    • one year ago
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    there are two sides of the equation 3r + 3 and 75 we start off with 3r + 3 = 75 now we take away 3 from each side... 3r + 3 - 3 = 75 - 3 can you take it from here?

  30. gigi1103
    • one year ago
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    ok so 3-3=0 75-3=2 3r+0=72?

  31. Vocaloid
    • one year ago
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    yeah! 3r = 72 now divide both sides by 3

  32. gigi1103
    • one year ago
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    ok one sec

  33. gigi1103
    • one year ago
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    24?

  34. Vocaloid
    • one year ago
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    right, so r = 24 now, that means we have 24 red cars, now we can find the number of white cars using w = 2r + 3 so w = ?

  35. gigi1103
    • one year ago
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    5

  36. gigi1103
    • one year ago
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    5w

  37. gigi1103
    • one year ago
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    hello?

  38. Vocaloid
    • one year ago
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    not quite... r = 24, so we replace "r" with "24" so w = 2r + 3 = 2(24) + 3 = ?

  39. gigi1103
    • one year ago
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    ok so 27

  40. Vocaloid
    • one year ago
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    check your math again 2*(24) = 3 = ?

  41. Vocaloid
    • one year ago
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    * means multiply

  42. gigi1103
    • one year ago
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    ok didnt see the times

  43. gigi1103
    • one year ago
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    51

  44. gigi1103
    • one year ago
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    @Vocaloid

  45. Vocaloid
    • one year ago
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    right, so w = 51 and 51 is our answer

  46. gigi1103
    • one year ago
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    thanks!!

  47. gigi1103
    • one year ago
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    can you help with one more?

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