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2 votes
Tom spent half of his allowance going to the movies. He washed the family car and earned 9 dollars. What is his weekly allowance if he ended with 13 dollars?

User Patrick F
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6.1k points

2 Answers

5 votes
m + 9 = 13 or 13 - 9 = m
Therefore, m must equal 4
m = 4
User Raamesh Keerthi
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6.4k points
6 votes
Let x = Tom’s allowance
Let x/2 = the amount he spent going to the movies.
So x – x/2 = the amount he has left after she went to the movies
he washed the car and earned nine dollars, so you’d add that amount in
x – x/2 + 9
the amount he has left over is 13 dollars
x – x/2 + 9 = 13
Now you solve for x
x – x/2 + 9 = 13
x/2 + 9 = 13
x/2 = 4
x = 8
His allowance is $8
To check your work, plug 8 into the equation:
8 – 8/2 + 9 = 13
8 – 4 + 9 = 13
13 = 13
User Alex Shkop
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6.7k points