Question

Jack, Rachel, and Alexa have a total of $50$ strawberries between them. Rachel has twice as many strawberries as Jack and Alexa has $5.$ Rachel has how many strawberries?

• A. $30$
• B. $15$
• C. $45$
• D. $20$

Answer 1

The correct option is A $30$

Let the number of strawberries available with Jack be $m$.

Then, according to the question Rachel has twice the number of strawberries available with Jack.

$\therefore$ Number of strawberries available with Rachel $=2\times m=2m$

Number of strawberries available with Alexa $=5$

Given, total number of strawberries $=50$

Total strawberries $=$ Strawberries with Jack $+$ Strawberries with Rachel $+$ Strawberries with Alexa

$\Rightarrow 50=m+2m+5$

$\Rightarrow 50=3m+5$
Subtracting $5$ from both sides,

$\Rightarrow 50-5=3m+5-5$

$\Rightarrow 45=3m$
Dividing both sides of the equation by $3$,

$\Rightarrow \frac{45}{3}=\frac{3m}{3}$

$\Rightarrow 15=m$

$\Rightarrow m=15$

As a result, number of strawberries available with Jack $=m=15$

$\therefore$ Number of strawberries available with Rachel $=2m$
$=2\times 15$
$=30$

The number of strawberries available with Rachel are $30$.

Therefore, option (a.) is the correct answer.