Question

Abraham's parents budget 13% of their monthly disposable income of $4,750 for clothes. They budget 20% of the 13% budget amount for Abraham's clothing. Abraham buyshis own clothes above the budgeted amount. Abraham had the following estimated totals for the six-month period from March through August: clothes = $775; repairs andalterations = $55; and dry cleaning = $75. How much will Abraham have to pay out of his own pocket?$145$164$169$171None of these choices are correct.

Answer 1

In order to determine how much will Abraham have to pay, proceed as follow:

- calcualte the 13% of 4,750:

`((13)/(100))4,750=617.5`

- calculate the 20% of the previous result:

`((20)/(100))617.5=123.5`

- for six months the cost of Abraham's clothing woud be:

`123.5\cdot6=741`

- sum the costs of the estimated totals for the six-months period that Abraham made:

`\text{total}=775+55+75=905`

- subtract the available money for Abraham's clothing ($741) to the estimated cost of the clothes made by Abraham:

`905-741=164`

Hence, it is necessary that Abraham have to pay an additional amount of $164 to complete the expenses about his clothes.