Question

Laura bought 25 rolls of yarn to make a

blanket. The multi-colored yarn cost $4
per roll. The solid colored yarn cost $3
per roll. She paid a total of $88. How
many different rolls of yarn did she buy?

Answer 1

Let's use a system of equations to represent the problem.

Let m be the number of multi-colored yarn rolls Laura bought and let s be the number of solid colored yarn rolls she bought.

From the problem, we know that:

m + s = 25 (Laura bought a total of 25 rolls of yarn)

4m + 3s = 88 (the total cost of the yarn rolls was $88)

We can use the first equation to solve for one variable in terms of the other. For example, if we solve for s, we get:

s = 25 - m

Now we can substitute this expression for s into the second equation:

4m + 3(25 - m) = 88

Simplifying this equation, we get:

m = 13

So Laura bought 13 multi-colored yarn rolls and 12 solid colored yarn rolls (since 13 + 12 = 25).