Question

A conversation store sells 1\3 pound of one brand of tail mix for 1.50 and 1\2 of another brand of trail mix for 2.15. Which brand has a lower price per pound? Explain your reasoning.

Answer 1

1\2 of another brand of trail mix for 2.15 has lower price

Explanation:

A conversation store sells 1\3 pound of one brand of tail mix for 1.50 and 1\2 of another brand of trail mix for 2.15

1/3 pounds of one brand is 1.50

we need to find the rate for 1 pounds of first brand

`(1.50)/((1)/(3) )=4.50`

1\2 of another brand of trail mix for 2.15

1 pound of another brand trial mix is

`(2.15)/((1)/(2) )=4.30`

1 pound of first brand trial mix is 4.50

1 pound of second brand trial mix is 4.30

second brand is the lower price

so 1\2 of another brand of trail mix for 2.15 has a lower price

Answer 2

Brand one offers a lower price per pound.

Explanation:

We have been given that a conversation store sells 1/3 pound of one brand of tail mix for 1.50 and 1/2 of another brand of trail mix for 2.15. We are asked to find the brand which offers lower price per pound.

First of all, we will find price of per pound trail mix for each brand.

Since 1/3 pound of one brand of tail mix costs $1.50, so the cost of one pound trail mix would be 3 times $1.50 that is
`3* \$1.50=\$4.50`.

Since 1/2 pound of other brand of tail mix costs $2.15, so the cost of one pound trail mix would be 2 times $2.15 that is
`2* \$2.15=\$4.30`.

Since $4.30 is less than $4.50, therefore, brand one offers a lower price per pound.