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?

- gigi1103

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- gigi1103

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- gigi1103

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## More answers

- gigi1103

help plz

- Vocaloid

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?

- gigi1103

?

- Vocaloid

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?

- gigi1103

yes

- Vocaloid

the problem also says "there are three more white than twice the number of red cars"
so
w = 2r + 3
with me so far?

- gigi1103

yup

- Vocaloid

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?

- gigi1103

yeah still with ya

- Vocaloid

ok, so we have
r + (2r + 3) = 75
can you solve for r now?

- gigi1103

so i divide by two

- Vocaloid

uh, not quite
we have r + (2r + 3) = 75
let's combine the r's together
r + 2r = ?

- gigi1103

what do you mean?

- Vocaloid

just add them together
r + 2r = ?

- gigi1103

dang how?

- gigi1103

they are numbers tho

- Vocaloid

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?

- gigi1103

yeah

- gigi1103

so its 3rs now?

- gigi1103

help?

- Vocaloid

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

- gigi1103

these are the answers
A)
24
B)
47
C)
48
D)
51

- Vocaloid

3r + 3 = 75
now subtract 3 from each side, what do you get?

- gigi1103

how do you subtract on two sides?

- gigi1103

???????????

- Vocaloid

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?

- gigi1103

ok so 3-3=0 75-3=2 3r+0=72?

- Vocaloid

yeah!
3r = 72
now divide both sides by 3

- gigi1103

ok
one sec

- gigi1103

24?

- Vocaloid

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 = ?

- gigi1103

5

- gigi1103

5w

- gigi1103

hello?

- Vocaloid

not quite...
r = 24, so we replace "r" with "24"
so w = 2r + 3 = 2(24) + 3 = ?

- gigi1103

ok so 27

- Vocaloid

check your math again
2*(24) = 3 = ?

- Vocaloid

* means multiply

- gigi1103

ok didnt see the times

- gigi1103

51

- gigi1103

@Vocaloid

- Vocaloid

right, so w = 51 and 51 is our answer

- gigi1103

thanks!!

- gigi1103

can you help with one more?

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