## joanna went school supply shopping she spent $35.98 on notebooks and pencils notebooks cost $2.30 each and pencils cost $1.42 each she bough

Question

joanna went school supply shopping she spent $35.98 on notebooks and pencils notebooks cost $2.30 each and pencils cost $1.42 each she bought a total of 21 notebooks and pencils how many of each did she buy

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2021-10-05T04:43:18+00:00
2021-10-05T04:43:18+00:00 1 Answer
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## Answers ( )

Joanna bought 7 notebooks and 14 pencilsStep-by-step explanation:Step 1 :Let x denote the number of notebooks and y denote the number of pencils Joanna bought.

Cost of one notebook = $ 2.30

Cost of one pencil = $1.42

Step 2 :Total of notebooks and pencils bought = 21

=>

x + y = 21 => y = 21-xTotal cost of notebooks and pencils = $35.98

=> 2.3x + 1.42y = 35.98

Substituting y = 21- x here , we have,

2.3x + 1.42 ( 21-x) = 35.98

2.3x + 29.82 – 1.42x = 35.98

0.88 x = 6.16

=> x = 7y = 21-x = 21-7 = 14Step 3 :Answer :Joanna bought 7 notebooks and 14 pencils