Luke and Joshua work at a dry cleaners ironing shirts. Luke can iron 35 shirts per
hour, and Joshua can iron 25 shirts per hour. Luke worked 3 more hours than Joshua
and they ironed 345 shirts between them. Determine the number of hours Luke
worked and the number of hours Joshua worked.
Luke worked
hours and Joshua worked
hours.

Step-by-step explanation:

Let x be the number of hours worked by Joshua.

Shirts ironed by Joshua in an hour = 25

Number of shirts ironed by Joshua in x hours = 25x

The number of hours worked by Luke = (x + 3)hours

Shirts ironed by Luke in an hour = 35

No. of shirts ironed by Luke in x hours = 35*(x + 3) = 35x+35*3 = 35x + 105

No. of shirts ironed by Luke and Joshua = 345

25x + 35x +105 = 345

60x = 345 - 105

60x = 240

x = 240/60

x = 4 hours

The number of hours worked by Joshua = 4 hours

The number of hours worked by Luke = 4 +3 = 7 hours

Luke : 7 hours

Joshua : 4 hours

Step-by-step explanation:

Since you don't know how many hours both of them worked, you can use any variables, but I'm comfortable with x for houts. So as of right now, you have 35x +25x = 345. However, because we know Luke worked 3 more hours than Joshua, you can change 35x into 35(x+3). So, your equation should look like this: 35(x+3) +25x = 345. Finally, you can solve it. Distribute 35 into x + 3 to get 35x +105 +25x = 345. Combine like terms, and add 35x with 25x to get 60x. Now, you have 60x + 105 = 345. Subtract 105 from 345 to get 240. Divide 60 by 240 to get the x by itself, and you have the equation x=4. That means Joshua worked 4 hours and Luke worked 7, because he worked 3 more. You can also check just in case by filling in the variable with 4 from our original equation. 35(4+3) + 25(4) = 345. 245+100=345. 345=345, so it is correct! Sorry for the lengthy answer.

1. 22

2. 1

3. 7

4. 18

step-by-step explanation

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