Jin had 50% fewer erasers than Dwayne. After Dwayne gave 15 of his erasers to Jin, Jin had 40% fewer erasers than Dwayne. How many erasers did Jin have at first?
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Jin had 50% fewer erasers than Dwayne. After Dwayne gave 15 of his erasers to Jin, Jin had 40% fewer erasers than Dwayne. How many erasers did Jin have at first?
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Answer:
Jin's erasers = 50% of Dwayne's erasers.
Jin's erasers - 15 = 40% of Dwayne's erasers.
Now let jin's erasers be x and Dwayne's erasers be y. Therefore we can write the above statements as:
=> x = 0.5y ___(1)
=> x - 15 = 0.4y
=> x = 0.4y + 15.___(2)
From (1) and (2):
0.5y = 0.4y + 15.
0.1y = + 15.
y = 150.
Now, x = 50% × y
= 50% × 150
= 75.
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