Question

Eydin has two strips if stickers,A and B, of the same length.The length of each sticker is 1.2 cm. The stickers in each strip form a repeated patteren as shown below

There are 56 heart stickers all together in both strips of stickers.What is the length of each strip of stickers?​

Answer 1

Each strip is 117.6 cm

Explanation:

I created a proportion of hearts to others. On strip A there is 1 heart to 2 others and B there is 1 heart to 3 others. I added them and got a proportion of 2 hearts to 5 others for both. With a total of 56 hearts, I set up a proportion to determine the total stickers

2/5=56/x

When I cross multiply, I get 2x=280 and x=140

so for the 56 total hearts, I have 140 others. I added those to get the total stickers and got 196. I multiplied that by 1.2cm and got 235.2 cm for both. Since both are the same size, just divide that by 2 and get 117.6 cm each.