At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
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?
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?
the problem also says "there are three more white than twice the number of red cars" so w = 2r + 3 with me so far?
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?
yeah still with ya
ok, so we have r + (2r + 3) = 75 can you solve for r now?
so i divide by two
uh, not quite we have r + (2r + 3) = 75 let's combine the r's together r + 2r = ?
what do you mean?
just add them together r + 2r = ?
they are numbers tho
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?
so its 3rs now?
right... r + 2r = 3r so far we have: 3r + 3 = 75 now subtract 3 from each side, what do you get?
these are the answers A) 24 B) 47 C) 48 D) 51
3r + 3 = 75 now subtract 3 from each side, what do you get?
how do you subtract on two sides?
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?
ok so 3-3=0 75-3=2 3r+0=72?
yeah! 3r = 72 now divide both sides by 3
ok one sec
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 = ?
not quite... r = 24, so we replace "r" with "24" so w = 2r + 3 = 2(24) + 3 = ?
ok so 27
check your math again 2*(24) = 3 = ?
* means multiply
ok didnt see the times
right, so w = 51 and 51 is our answer
can you help with one more?