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Created with Fabric.js 1.4.5 Common Core State Standards Common Core State Standards HSA-SSE: Seeing Structure in Expressions double click to change this header text! Interpret expressions that represent a quantity in terms of its context If x is the number of pounds of caramels included in the box and y is the number of pounds of truffles in the box, then I can write the following equations based on what I know about one of these boxes: x+y=3 8x+12y+1=30 Assuming Lita used the information given and her other knowledge of the candies, use her equations to answer the following: a.How many pounds of candy are in the box?b.What is the price per pound of the caramels?c.What does the term 12y in the second equation represent?d.What does 8x+12y+1 in the second equation represent double click to change this title text! EXAMPLE double click to change this title text! SOLUTION a.The box contains 3 pounds of chocolates, since the total number of pounds of the caramels and truffles, represented by x+y , equals 3.b.It appears that the second equation is based on the cost of a box, since everything equals 30. If that is true, then the caramels cost $8 per pound; you can tell because 8 is multiplied by the number of pounds of caramels in the equation that relates the number of pounds of each kind of candy to the cost of a box.c.12y represents the value of the truffles. Since 12y is in the equation that relates the number of pounds of each kind of candy to the total value of the box, the truffles must cost $12 per pound, and that multiplied by y , the number of pounds of truffles, will give their dollar value.d.This represents the total value of the box of chocolates: the value of the caramels added to the value of the truffles added to the fixed cost of $1.
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