Sydney and Riley work at a dry cleaners ironing shirts. Sydney can iron 15 shirts per hour, and Riley can iron 10 shirts per hour. Riley worked 5 more hours than Sydney and they ironed 150 shirts between them. Determine the number of hours Sydney worked and the number of hours Riley worked.

Sydney worked for 4 hours and Riley worked for 9.

Step-by-step explanation:

We should add the amount of shirts that both Riley and Sydney per hour as the variables, and since we know that Riley worked 5 more hours than Sydney we can add the amount of shirts that Riley can do per hour (10) times the extra amounts of hours that the problems says she does (5).

This is the equation:

15x+10x+50=150

Solving it we get:

25x+50=150

25x=100

x=4.

So, this shows that Sydney worked for 4 hours ironing shirts and since Riley worked for 5 more hours than Sydney, 4+5=9. Riley worked for 9 total hours.

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