Four hungry boys went to bed, thinking about the batch of cookies that their mother had just baked. In the middle of the night, each of them got up and ate some of the cookies. Charlie got up first. He gave 2 cookies to the dog, then ate 1/10 of the remaining cookies and went back to bed. Bennett was the next to get up, and he ate 1/9 of the cookies. (The dog didn’t get any from him because he thought the dog looked full.) Oliver then got up and gave 4 cookies to the dog. Then he ate 1/4 of the remaining cookies. Davey was the last to get up, and he ate just 6 cookies. (He offered one to the dog, but the dog just turned away with a decided grimace.) When their mother went into the kitchen the next morning, she found ants, a pale-looking dog, a lot of crumbs, and only a few cookies, so she quickly whipped up another small batch to increase the amount by 2/3. Then she had a total of 55 cookies. How many cookies had she baked the day before?
Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
Four hungry boys went to bed, thinking about the batch of cookies that their mother had just baked. In the middle of the night, each of them got up and ate some of the cookies. Charlie got up first. He gave 2 cookies to the dog, then ate 1/10 of the remaining cookies and went back to bed. Bennett was the next to get up, and he ate 1/9 of the cookies. (The dog didn’t get any from him because he thought the dog looked full.) Oliver then got up and gave 4 cookies to the dog. Then he ate 1/4 of the remaining cookies. Davey was the last to get up, and he ate just 6 cookies. (He offered one to the dog, but the dog just turned away with a decided grimace.) When their mother went into the kitchen the next morning, she found ants, a pale-looking dog, a lot of crumbs, and only a few cookies, so she quickly whipped up another small batch to increase the amount by 2/3. Then she had a total of 55 cookies. How many cookies had she baked the day before?
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