QuestionMr. Two gave away half his cookies, then 14 more, and had 8 left. How many did he start with?

Studdy Solution

STEP 1

Assumptions1. Mr. Two gave out half of his cookies in the morning. . He gave out14 more cookies at lunch.
3. After giving out cookies at lunch, he had8 cookies left.

STEP 2

We know that Mr. Two had8 cookies left after giving out14 at lunch. So, before lunch, he must have had8 cookies plus the14 he gave out. $Cookies\, before\, lunch = Cookies\, after\, lunch + Cookies\, given\, out\, at\, lunch$

STEP 3

Now, plug in the given values for the cookies after lunch and the cookies given out at lunch to calculate the number of cookies before lunch.
$Cookies\, before\, lunch =8 +14$

STEP 4

Calculate the number of cookies before lunch.
$Cookies\, before\, lunch =8 +14 =22$

STEP 5

We know that the number of cookies before lunch (22) is half of the total number of cookies Mr. Two started with. So, to find the total number of cookies, we multiply the number of cookies before lunch by2.
$Total\, cookies = Cookies\, before\, lunch \\times2$

STEP 6

Now, plug in the value for the cookies before lunch to calculate the total number of cookies.
$Total\, cookies =22 \\times2$

STEP 7

Calculate the total number of cookies Mr. Two started with.
$Total\, cookies =22 \\times2 =44$ Mr. Two started with44 cookies.

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