Question

Joseph spends 5/24 of one week's earnings to buy a jacket. The cost of the jacket is $56.50. Calculate the amount Joseph earns in a week​

Answer 1

Answer: Joseph earns $271.2 in one week.

Explanation:

Let x be the amount of money that Joseph makes in one week.

Therefore, the fraction of money Joseph spends on his jacket is x times the weekly earning.

5/24 = 56.50/x

Cross-multiplying (draw the equation above on paper if it seems confusing)

5x=24 x 56.50

24 x 56.50= 1356

5x=1356

We divide 5 and 1356 by 5 to get x by itself.

x= 271.2