Harold loves to eat cookies. He eats 1/4 of the package on Monday. On Tuesday, he eats 13 cookies. On Wednesday, he eats 1/2 as many as he did on Monday. If there are 22 cookies left in the package on Thursday, how many cookies did he start with?
How many cookies did Harold start with?
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\(\frac{p}{4}+13+\frac{p}{8}+22=p\\ \frac{8p-2p-p}{8}=25\\ 5p=8\cdot 25\\ p=40\\ \color{blue}x=\frac{p}{4}=\frac{40}{4}=10\)
Harold started with 10 cookies.
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Harold loves to eat cookies. He eats 1/4 of the package on Monday. On Tuesday, he eats 13 cookies. On Wednesday, he eats 1/2 as many as he did on Monday. If there are 22 cookies left in the package on Thursday, how many cookies did he start with?
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Mon = x/4 Tue = 13 Wed = x/8 left = 22
x/4 + 13 +x/8 + 22 = x
x = 56
Mon = 14
Tue = 13
Wed = 7
Left = 22
Total 56 cookies (This is what he started with!)