1) Aunt Sue spends 1/5 of her household expenses on groceries and 1/2 of it on utilities. The rest of her household expenses is spent on pet grooming.

Question

a) each pet use this 1/10 of her household expenses. How many pets does Aunt Sue have?
b) she spends $375 on pet grooming. How much is her household expenses?

Answer 1

a) Let x be Aunt Sue's household expenses.

1/5x + 1/2x + 1/10x = x
Multiplying by 10 to get rid of the denominator:
2x + 5x + x = 10x
8x = 10x
2x = 0
x = 0
Since x = 0, that means Aunt Sue doesn't have any pets.

b) If Aunt Sue spends $375 on pet grooming, then this amount is equal to 1/10 of her household expenses. Let y be Aunt Sue's household expenses.

1/10y = $375
y = $375 * 10
y = $3750

Therefore, Aunt Sue's household expenses is $3750.