Question

A recipe for individual chocolate hazelnut tarts calls for ½ cup of hazelnuts per tart. If 1 cup of hazelnuts weighs 4 ounces, will a 5-kilogram bag of hazelnuts be sufficient to make 75 tarts? 9.

Answer 1

The amount is sufficient to make 75 tarts.

Explanation:

We have been given that a recipe for individual chocolate hazelnut tarts calls for ½ cup of hazelnuts per tart and 1 cup of hazelnuts weighs 4 ounces.

The half cup of hazelnuts will weigh 2 ounces
`((4)/(2)=2)`.

1 kg equals 35.274 ounces.

`\text{5 kg}=5* 35.274\text{ ounces}`

`\text{5 kg}=176.37\text{ ounces}`

Since each tart needs ½ cup of hazelnuts and half cup of hazelnuts will weigh 2 ounces, so we will divide 176.37 ounces by 2 to find number of tarts.

`(176.37)/(2)=88.185\approx 88`

Since we can make 88 tarts from 5 kg hazelnuts, therefore, the 5-kilogram bag of hazelnuts be sufficient to make 75 tarts.