Question

Layla, Sofia, and Evelyn share a box of 754 pieces of colored paper. The ratio of Layla's pieces of colored paper to Sola's pieces of colored paper is 4: 3. The ratio of Sofia's pieces of coloredpaper to Evelyn's pieces of colored paper is 9 : 5.a How many piece of colored paper does Layla have?b How many more pieces of colored paper does Layla have than Evelyn?

Answer 1

Layla: Sofia

4:3

Multiply by 3

4*3 : 3*3

12 : 9

We know Sofia to Evelyn is 9:5

We can write this as one ratio

Layla : Sofia : Evelyn : total

12 : 9 5 : 12+9+5 = 26

We have 754 pieces of paper so divide by 26

754/26 =29

Multiply each number by 29

Layla : Sofia : Evelyn : total

12*29 : 9*29 : 5*29 : 26*29

348 261 145 754

Layla has 348 pieces

Layla - Evelyn

348-145

203

Layla has 203 more pieces