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Gideon spends 1/6 of his monthly budget on his car, 3/8 of his budget on housing, 1/4 of his budget on entertainment, and the remaining $250 on groceries. What is the total amount of his monthly budget?

 Dec 20, 2021
 #1
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Gideon spends 1/6 of his monthly budget on his car, 3/8 of his budget on housing, 1/4 of his budget on entertainment, and the remaining $250 on groceries. What is the total amount of his monthly budget?

 

Monthly budget = x

x/6 + 3x/8 + x/4 = 19x/24

250 = 5x/24       Solve for x

 Dec 20, 2021
 #2
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Let x be the total monthly budget.

Then, amount spent on car = x * 1/6

Amount spent on housing = x * 3/8

Amount spent on entertainment = x * 1/4

Total amount spent = x ( 1/6 + 3/8 + 1/4) = x (4 + 9 + 6)/24 = x * 19/24

Balance amount spent on groceries = x — x * 19/24 = 5/24 x

Now, 5/24 x = $ 250

So, x = 250/5 * 24 = $1200

 Dec 20, 2021
 #3
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Monthly expenses of Gideon

Car = 1/6, housing= 3/8, entertainment= 1/4

Total = 1/6+3/8+1/4= (4+9+6)/24= 19/24

Remaining 5/24 part on grocery= $250

Total monthly budget= 250×24/5= $1200

 Dec 28, 2021

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