Question

$\text{A group of people prepares}5\frac{1}{2}\text{L of}$
$\text{lemonade for the sports day. How many L}$ $\text{of lemonade was prepared by 7 similar groups?}$

• A. $39\frac{1}{2}L$
• B. $37\frac{1}{2}L$
• C. $36\frac{1}{2}L$
• D. $38\frac{1}{2}L$

Answer 1

The correct option is D $38\frac{1}{2}L$

$\text{Amount of lemonade prepared by 1 group}$
$=5\frac{1}{2}$

$\text{∴ Amount of lemonade prepared by 7 groups}$
$=7\times 5\frac{1}{2}$

Now,
$7\times 5\frac{1}{2}=(7\times 5)+7\times \frac{1}{2}$

$=35+\frac{7\times 1}{2}$

$=35+\frac{7}{2}$

$(Now,7=2+2+2+1)$

$=35+\frac{2}{2}+\frac{2}{2}+\frac{2}{2}+\frac{1}{2}$

$=35+1+1+1+\frac{1}{2}$

$=38+\frac{1}{2}$

$=38\frac{1}{2}$

$\text{Hence, all similar 7 groups made}38\frac{1}{2}L\text{of lemonade}$
$\text{in total.}$