Question

Luke and Joshua work at a dry cleaners ironing shirts. Luke can iron 35 shirts per

Answer 1

Answer:

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.

Answer 2

Answer:

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