A student recently asked us why the wages are multiplied by 1.2 or 1.5 to solve the following question: "Elizabeth earns an hourly wage that is 1.25 times Yavuz’s hourly wage. During their annual review, Elizabeth earns a 20% raise while Yavuz earns a 50% raise. What is the ratio of Elizabeth’s new hourly wage to Yavuz’s new hourly wage?"
Suppose an item is worth $100. If it value stays the same, its new value is 100% of the original value ($100). If that item increases in value by 20%, its new value is 120% of its original value ($120). If it decreases in worth by 60%, then its new value is 40% (100%  60%) of its original value ($40).
Therefore, if the item increases in value by 20%, we must multiply not by 20% but by 120%, which is equal to multiplying by 1.2: $100 x 1.2 = $120. For this reason, we can multiply Elizabeth's wage by 1.2 when she earns a 20% raise, and we can multiply Yavuz's wage by 1.5 when he earns a 50% raise.
Full Length 2 QR #13

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Full Length 2 QR #13
Sophia Stone
PCAT Content Manager
Next Step Test Prep
PCAT Content Manager
Next Step Test Prep