Question

Alex and Sara's monthly savings are in the ratio of $2:7$. Their combined savings for the month is $$36$. Sara gives $$8$ to Alex. What is the new ratio of their savings?

• A. $5:4$
• B. $4:5$
• C. $7:2$
• D. $3:6$

Answer 1

The correct option is B $4:5$

Ratio $2:7$

tape diagram:
There are $9$ rectangles in the Tape Diagram. Each rectangle will represent the equal amount of savings.
The total savings is $$36$. So, each rectangle will represent $\frac{36}{9}$= $4
$\text{Sara}$ gave $$8$ to $\text{Alex}$
Since $1$ rectangle represent $$4$, $$8$ will be equal to $2$ rectangles.

New tape diagram

The new tape diagram shows that Sara has $5$ rectangles and Alex has $4$ rectangles, respectively.
So, the new ratio will be $4:5$ .