Question

sarah and penelope work at a dry cleaners ironing shirts. sarah can iron 30 shirts per hour, and penelope can iron 35 shirts per hour. sarah worked twice as many hours as penelope and they ironed 475 shirts between them. determine the number of hours sarah works and the number of hours penelope worked.

Answer 1

Penelope worked 5 hours.

Sarah worked 10 hours.

Explanation:

Let's start by setting up some equations to represent the given information:

Let x be the number of hours Penelope worked.

Then Sarah worked 2x hours.

The total number of shirts they ironed is given by:

30(2x) + 35x = 475

Simplifying and solving for x:

60x + 35x = 475

95x = 475

x = 5

So Penelope worked 5 hours.

And Sarah worked 2x = 2(5) = 10 hours.

p = 5

So Penelope worked 5 hours.

And since Sarah worked twice as many hours, she worked:

2p = 2(5) = 10

So Sarah worked 10 hours.