Question

Terry gets 10 dollars as an allowance every month. He decides to gift himself a new gaming set that would cost him $1\frac{1}{5}$ part of his allowance.
What is the additional cost he has spend on the gaming set?

• A. 12 dollars
• B. 5 dollars
• C. 15 dollars
• D. 2 dollars

Answer 1

The correct option is D 2 dollars

$\text{Terry spends}1\frac{1}{5}\text{of his allowance}$
$\text{on the gaming set.}$

$\text{Now, we know that}1\frac{1}{5}\text{is a mixed fraction.}$

We can write this mixed fraction as an improper fraction using the formula:

$\frac{(Whole\times Denominator)+Numerator}{Denominator}$

Here, Whole = 1
Denominator = 5
Numerator = 1

Thus,
$1\frac{1}{5}=\frac{(1\times 5)+1}{5}=\frac{5+1}{5}=\frac{6}{5}$

Now,
Terry's monthly allowance = 10 dollars

∴ Amount spent on the gaming set = $1\frac{1}{5}\text{part of 10 dollars}=\frac{6}{5}\text{part of 10 dollars}$

So, the amount will be:
$\frac{6}{5}\text{of 10}=\frac{6}{5}\times \text{10 = 12 dollars}$

Hence, additional amount Terry spends on the gaming set = 12 − 10 = 2 dollars