Jamie and Lynn each worked a different number of days, but each earned the same amount of money. Jamie earned ₱150 per day and Lynn earned ₱100 per day. Lynn worked 5 more days than Jamie. How much did each earn?
Answer:
Jamie and Lynn each earned 1500 pesos.
Step-by-step explanation:
Let’s assume Jamie worked for x number of days.
Therefore, Lynn worked for x+5 days.
Jamie earned 150 pesos per day, so his total earnings would be:
150x
Lynn earned 100 pesos per day, so her total earnings would be:
100(x+5)
Since they both earned the same amount of money, we can set these two expressions equal to each other and solve for x:
150x = 100(x+5)
150x = 100x + 500
50x = 500
x = 10
So Jamie worked for 10 days, and Lynn worked for 15 days (5 more than Jamie).
Jamie earned 150 pesos per day for 10 days, so his total earnings are:
150 x 10 = 1500 pesos
Lynn earned 100 pesos per day for 15 days, so her total earnings are:
100 x 15 = 1500 pesos
Therefore, Jamie and Lynn each earned 1500 pesos.
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