Question

Robin has a table full of supplies that she will use to decorate picture frames. She decorated one frame with 3 buttons and 12 bows. On her other frames, she also wants to use 2 types of items on each picture frame, but only if the 2 items have the same unit rate as the items on the first frame. Which of the pairs of items could Robin use for the other frames?
6 stickers and 21 flowers
8 bows and 36 gems
7 stickers and 28 glue dots
5 buttons and 15 glue dots
4 gems and 16 flowers

Answer 1

You need the same ratio 3:12 = 1:4. Check each pair:

- 6:21 = 2:7 → no
- 8:36 = 2:9 → no
- 7:28 = 1:4 → yes
- 5:15 = 1:3 → no
- 4:16 = 1:4 → yes

So the possible pairs are 7 stickers and 28 glue dots, and 4 gems and 16 flowers.