Question

There are 2.5 oranges per pound, and 1.2 grapefruit per pound. With $50 you can buy 40 pounds of oranges or 55 pounds of grapefruit. If you have enough money to buy 28 pounds of grapefruit, how many oranges (to the nearest whole orange) could you buy instead?

Answer 1

Explanation:

Given

there are 2.5 oranges per Pound

and 1.2 Grapefruit per Pound

In $ 50 one can buy 40 Pound Oranges

i.e. Oranges is
`(50)/(40)=1.25\ \$ per\ Pound`

In 50 $ one can buy 55 Pound Grapefruit

i.e. Grapefruit is
`(50)/(55)=0.909\ \$\ per\ Pound`

If we have Enough money to buy 28 Pounds of Grapefruit

`28* (50)/(55)=25.45 $`

In 24.45 $ we can bought
`(24.45)/(1.25)=19.56 Pounds`

19.56 pounds meaning
`19.56* 2.5=48.9\ oranges\approx 49\ oranges`