Question

Allison had $\$55$ . She spent $\dfrac{3}{5}$ of it and saved the rest. How much money did Allison save?

Answer 1

Hint: The above problem can be solved in 2 steps. In step1, we find the amount of money that Allison spent. In step2, we find the difference of the total money Allison had and the amount of money Allison spent to get the amount of money saved by Allison.

Complete step by step answer:
Given,
The total money with Allison$=\$55.$
Step1:
We need to find the amount of money Allison spent from the total money she had.
The total money with Allison$=\$55.$
According to the question,
Allison spent $\dfrac{3}{5}$ of the total money which means she spent $\dfrac{3}{5}$ of $\$55$
Total money spent by Allison$=\dfrac{3}{5}\times $ Total money
$\Rightarrow \dfrac{3}{5}\times 55$
Simplifying the above expression,
We get
$\Rightarrow 3\times 11=33$
The Amount of money Allison spent is $\$33.$
Step2:
We need to find the amount of money Allison saved from the total money she had.
Total money $=$ Total money spent by Allison + Total money Allison saved
In the above question,
We need to find the total money Allison saved.
The equation to calculate the total amount saved by Allison is given by
Total money Allison saved$=$ Total money $-$ Total money spent by Allison
Total money$= \$55$
From step1,
We know that
Total money spent by Allison $=\$33$
Total money Allison saved $=\$55- \$33$
$\Rightarrow \$22$

Therefore, the total amount saved by Allison is $\$22.$

Note: The result obtained in the given question can be cross- checked by using the formula given by
Total money $=$ Total money spent by Allison + Total money Allison saved.
From the above,
LHS:
$\Rightarrow $55
RHS:
$\Rightarrow $33 + 22
$\Rightarrow $55
LHS$=$RHS which concludes that the result attained is correct.