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?
+14913 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!)
