Question

Eight pounds of peanuts cost $24.00. Six pounds of walnuts cost half as much.

Which is more expensive and by how much?

Answer 1

peanuts are more expensive by $1.00.

Explanation:

∵ The cost of eight pounds of peanuts = $24.00

∴ The cost of one pound of peanuts =
`(24)/(8)`

= $3.00 per pound

∵ The cost of six pounds of walnuts half as much =
`(1)/(2) * 24`

= $12.00

∴ the cost of one pound of walnuts =
`(12)/(6)`

= $2.00 per pound

Difference in the cost per pound = $3.00 - $2.00 = $1.00

Therefore, peanuts are more expensive by $1.00.