Question

A store sells toys in bulk. It sells wooden blocks for $5 a pound and plastic bricks for $10 a pound. How many pounds of wooden blocks and plastic bricks should be used to make a 10-pound mixture that would sell for $80?

Answer 1

Answer: 4 pounds of wooden blocks and 6 pounds of plastic bricks should be used.

Step-by-step explanation:

Let x = Quantity of wooden blocks.

y = Quantity of plastic bricks.

As per given , we ahve

5x+10y=80        (i)

x+y=10     (ii)

Multiply 5 on both sides of (ii), we get

5x+5y=50   (iii)

Eliminate (i) from (iii), we get

5y=30

⇒ y= 6

Put y=6 in (ii), we get

x+6=10

⇒ x= 10-6= 4

Hence, 4 pounds of wooden blocks and 6 pounds of plastic bricks should be used.