Question

A dealer sold 200 pairs of gloves. Some were sold at $6 per pair and the remainder were sold at $11 per pair. Total receipts from this sale were $1,600. How many pairs of gloves did he sell at $6 each

Answer 1

Answer:

120 pair were sold at $$6$.

Step-by-step explanation:

Given dealer sold $200$ pairs of gloves.

Total receipts from sale were $$1600$.

Let $x$ be the number of pairs sold at $$6$.

And $(200-x)$ will be the number of pairs sold at $$11$.

So, number of pairs times amount of pairs of each $$6$ and $$11$ when added should give us total amount of sale.

The equation will be

$6\times(x)+11(200-x)=1600\\\\6x+2200-11x=1600\\\\-5x+2200=1600\\\\-5x=1600-2200\\\\-5x=-600\\\\x=\frac{-600}{-5}=120$

Hence number of pair sold at $$6$ is 120.