Question

Marie bought some albums and picture frames as gifts for a party. Each album cost 18$ and each picture frame cost 3$ less. the ratio of picture frames to albums was 4:3 she paid a total of 1026 for all albums and picture frames

Answer 1

Marie bought 36 frames and 27 albums

Explanation:

So is an album is $18 and a picture frame is $3 less that would make picture frames $15. Now if the ratio of picture frames to albums was 4:3 and she paid a total of $1026 for all, the equation would look like this:

15f + 18a = 1026

Now add in the ratio

(15 + 15 + 15 + 15 + 18 + 18 + 18)x = 1026

114x = 1026

x = 9

Now this means the ratio fit 9 times into the end number

Picture Frames: 4 x 9 = 36

Albums: 3 x 9 = 27

And to check we plug back in

15(36) + 18(27) = 1026

540 + 486 = 1026

1026 = 1026

Answer 2

36:27

Explanation:

18 - 3 = 15$ for each picture frame

15$ (picture frames) : 18$ (albums)

4 picture frames : 3 albums = 114$

1026 divided by 114 = 9

4x9 = 36 picture frames

3x9 = 27 albums

36:27