Question

You want to surround the perimeter of a garden with 35 stones. You need to place a certain number of large and small stones, and for every large stone, you want to use 4 small stones. Choose the correct equation to find the number of stones for each size. Then solve the equation.

A. x + 4x = 35; 7 large stones and 28 small stones
B. x + 5x = 35; 7 large stones and 28 small stones
C. x + 4 = 35; 4 large stones and 31 small stones
D. 4x = 35 + x; 12 large stones and 23 small stones

Answer 1

You will need 7 large and 28 small stones.

Explanation:

x = the number of large stones

y = the number of small stones

x + y = 35

for every large stone, you want to use 4 small stones:

y = 4x

by solving the system of equations:

x + y = 35

y = 4x

we find:

x = 7 large stones

y = 28 small stones