Question

Ms. Nina wants to buy candy mix for $\$1.00perpound$ . If she already bought $50pounds$ of candy for $\$1.20perpound$, how much candy that costs $80centsperpound$ must she buy?

Answer 1

Finding the weight of the candy:

Let Nina buys $xpound$ of candy at rate $80centperpound$

$\because$ $1cent$ $=\frac{1}{100}$ $\$$

$\therefore$ $80cents$ $=\frac{80}{100}$

$=0.8$

As per the given statements

$x\times 0.8+50\times 1.2=1.0\times (x+50)$

$\Rightarrow$ $0.8x+60=x+50$

$\Rightarrow$ $x-0.8x=60-50$

$\Rightarrow$ $0.2x=10$

$\Rightarrow$ $x=\frac{10}{0.2}$

$\Rightarrow$ $x=\frac{100}{2}$

$\Rightarrow$ $x=50$

Hence, she should buy $50pounds$ of candy for $80centsperpound$.