Answer :
Answer: Harvey has $174 per week to spend on entertainment.
Step-by-step explanation: first Add the money he has throughout the week which is $200 + 85 =285 and just subtract $459 and 285.
A fraction is a way to describe a part of a whole. The money that Harvey has to spend on entertainment per week is $58.
What is a Fraction?
A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.
Harvey earns $459 per week and spends $200 per week on rent and utilities, also $85 per week on food. Therefore, the amount of money left with Harvey,
Amount left with Harvey
= Earning - spending on rent and utilities - spending on food
[tex]\text{Amount left with Harvey} = \$459 - \$200 -\$85 =\$174[/tex]
From the leftover money, Harvey deposits 2/3 of the amount leftover into a savings account. therefore, the amount in the saving account is,
[tex]\text{Amount in the saving account} = \dfrac23 \times (\text{Amount of money left})[/tex]
[tex]= \dfrac23 \times ($174)\\\\=\$116[/tex]
Now, the amount left for spending on entertainment is,
[tex]\text{Amount left for spending on entertainment} = \$174 - \$116 = \$58[/tex]
Hence, the money that Harvey has to spend on entertainment per week is $58.
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