Question

A shop charges `\$4. 95` for a large `9`-ounce frozen yogurt. What is the cost per ounce of the frozen yogurt?.

Answer 1

$0.55/ounce

Explanation:

The problem gives us the ratio of cost to ounce. We need to create a proportion (when you set two ratios equal to each other) to solve for one variable of the second ratio.

⭐ The first ratio is
`$4.95/9 ounces`, which means that it costs $4.95 for 9 ounces.

⭐ The second ratio is
`x/1 ounce`, where x is the cost for 1 ounce of frozen yogurt.

. . . . . . . "per ounce" means "for every 1 ounce"

⭐ We need to set these two ratios equal to each other and solve for x.

. . . . . . . In proportions, keep the units of the numerators and denominators the same. In this case, we'll keep the cost as the numerators and the ounces as the denominators.

. . . . . . .
`(4.95)/(9) = (x)/(1)`

. . . . . . .
`(4.95)/(9)(1) = x`

. . . . . . . ∴ x = $0.55/ounce