Getting from point a to point b: Hattie purchases 3 books for $3.75 each 5 notepads for $1.75 each. She uses the following equation to figure the total (before tax): (3 x $3.75) + (5 x $1.75) Which of the following is another that could also be used? a. (3 x 5) + ($ 3.75 x $1.75) b. (3 + 5) + ($3.75 x $1.75) c. (8 x $3.75) - $10 d. 15 + ($3.75 x $1.75) e. $3.75 + $1.75 I know that the correct answer is c just by doing the calculation, what I want to know is how is this equation derived from the data given; what principle(s) are used to come up with (8 x $3.75) - $10?

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note that $3.75 is exactly $2 more than $1.75 so, for every one of the 5 x $1.75, you can move $3.75 into the $3.75 count as longas you reduce the 5 x cost by $2

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