Joanna went school supply shopping. She spent $35.72 on notebooks and pencils. Notebooks cost $2.24 each and pencils cost $1.48 each. She bought a total of 19 notebooks and pencils. How many of each did she buy?
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We need to make 2 equations to represent this. Do you know how to do that?
Pretty sure its 11 and 8
11 notebooks
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n + p = 19 ----> n = 19 - p 2.24n + 1.48p = 35.72 now sub 19 - p in for n in the 2nd equation 2.24(19 - p) + 1.48p = 35.72 42.56 - 2.24p + 1.48p = 35.72 -2.24p + 1.48p = 35.72 - 42.56 - 0.76p = - 6.84 p = -6.84/-0.76 p = 9 n + p = 19 n + 9 = 19 n = 19 - 9 n = 10 check.. 2.24n + 1.48p = 35.72 2.24(10) + 1.48(9) = 35.72 22.40 + 13.32 = 35.72 35.72 = 35.72 (correct) notebooks (n) bought were 10 and pencils (p) bought were 9
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