Question

Public schools are selling masks as a fund raiser. You can buy children's masks for $3 each or adult masks for $5 each. The school system sold 100

total masks for $426.

Answer 1

37 children's masks

63 adult's masks

Explanation:

Let x = number of children's masks sold

y = number of adult's masks sold

3x + 5y = 426

x + y = 100

Let's solve for y. Subtract y from both sides in the second equation

x + y = 100

- y - y

x = 100 - y

Now, plug in the new x into the other equation

3(100 - y) + 5y = 426

300 - 3y + 5y = 426

300 + 2y = 426

Subtract 300 from both sides

300 + 2y = 426

- 300 - 300

2y = 126

Divide 2 from both sides

2y/2 = 126/2

y = 63

Now plug the new y into one of the original equations. We'll use the second one

x + 63 = 100

Subtract 63 from both sides

x + 63 = 100

- 63 - 63

x = 37