Imani spent half of her weekly allowance playing mini-golf. To earn more money her parents let her wash the car for $4. What is her weekly allowance if she ended with $12?

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Answer 1 · 2016-01-14T20:25:07

Weekly allowance = $16

Let's use variable #a# for her allowance.

She spent half of it on mini-golf,
#a/2#
and earned $4 from her parents,
#a/2 +4#
and ended the week with $12, so
#a/2 +4 = 12#

Solve for #a# by isolating it, and you'll have your answer.

Move the #+4# over by subtracting #4# from both sides:
#a/2 +4 -4 = 12 -4#

#+4-4# cancels out, so you should have #a/2=8#

Now, to get rid of the denominator #2#, multiply both sides by #2#.
#2*a/2=8*2#

#2# times the denominator of #2# cancels out, and you're left with your answer:
#a=16#