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:

$(\frac{13}{100})4,750=617.5$

- calculate the 20% of the previous result:

$(\frac{20}{100})617.5=123.5$

- 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.