a) Let x be Aunt Sue's household expenses.
1/5x + 1/2x + 1/10x = x
1/2x + 1/2x + 1/10x = x
6/10x = x
6x = 10x
6 = 10
Since 6 does not equal 10, there is an error in our calculation. Let's try a different approach.
Aunt Sue spends 1/5 + 1/2 = 7/10 of her household expenses on groceries and utilities.
That means she spends 3/10 of her household expenses on pet grooming.
1/10x = 3/10x
1 = 3
Thus, Aunt Sue does not have any pets.
b) If Aunt Sue spends $375 on pet grooming, this means she spends 3/10 of her household expenses on pet grooming.
3/10x = 375
x = 375 / (3/10)
x = 375 * 10 / 3
x = 1250
Therefore, Aunt Sue's household expenses is $1250.
word problems, write the answer in a complete sentence and show steps.
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.
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?
1 answer