MATH SOLVE

3 months ago

Q:
# 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.

Accepted Solution

A:

Answer:The amount is sufficient to make 75 tarts.Step-by-step 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 [tex](\frac{4}{2}=2)[/tex].1 kg equals 35.274 ounces.[tex]\text{5 kg}=5\times 35.274\text{ ounces}[/tex][tex]\text{5 kg}=176.37\text{ ounces}[/tex]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.[tex]\frac{176.37}{2}=88.185\approx 88[/tex]Since we can make 88 tarts from 5 kg hazelnuts, therefore, the 5-kilogram bag of hazelnuts be sufficient to make 75 tarts.