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zavuch27 [327]
3 years ago
8

2-Nail files cost $0.61 each. Olivia buys 5 nail files. How much does Olivia spend?

Mathematics
1 answer:
valkas [14]3 years ago
3 0
First question is $3.05 and second question is $50
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<span>Then just solve as simultaneous equations: </span>
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<span>5(3x + 4y = 8.5) </span>
<span>3(5x + 8y = 14.5) </span>

<span>15x + 20y = 42.5 </span>
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<span>Think: DASS (Different Add, Similar Subtract). 15x appears in both equations so subtract one equation from the other. Eassier to subtract (15x + 20y = 42.5) from (15x + 24y = 43.5) </span>

<span>(15x + 24y = 43.5) - (15x + 20y = 42.5) = (4y = 1) which means y = 0.25. </span>

<span>Then substitue into equation : </span>
<span>15x + 20y = 42.5 </span>
<span>15x + 5 + 42.5 </span>
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<span>So x (notebooks) are 2.5 ($2.50) each and y (pencils) are 0.25 ($0.25) each.</span>
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