Question

A charity organisation sells greetings cards in packs costing $\$10$ or $\$2.50$ each. A total of $75$ packs were sold at a fair for a total of $375.Howmanyofthe$\$2.50$ packs were sold?

• A. 45
• B. 48
• C. 50
• D. 52

Answer 1

The correct option is C 50

Let the cards sell at $\$2,50$ are $n$

Then the cards sell at $\$10$ are $=75-n$

Then according to the question:

$\Rightarrow 2.50\left(n\right)+10(75-n)=375$

$\Rightarrow 2.5n+750-10n=375$

$\Rightarrow -7,5n=375-750$

$\Rightarrow -7.5n=-375$

$\Rightarrow n=\frac{-375}{7.5}=50$