Question

Peralta and Amy worked last winter shovelling their neighbour's driveway. Amy earned $8 more than twice the amount earned by Peralta. If their earnings totalled $110, how much did Amy earn? Use an algebraic equation to solve this problem.

Answer 1

$76

Explanation:

Peralta and Amy worked last winter shovelling their neighbour's driveway.

Let the amount

Peralta earns = x

Amy earns = y

Amy earned $8 more than twice the amount earned by Peralta.

y = 2x + $8

y = 2x + 8

If their earnings totalled $110,

x + y = 110

x = 110 - y

We substitute 110 - y for x

Hence:

y = 2(110 - y) + 8

y = 220 - 2y + 8

Collect like terms

y + 2y = 220 + 8

3y = 228

y = 228/3

y = 76

Since, the amount Amy earns = y

Therefore, Amy earned $76