Box A Had 130 More Erasers Than Box B. Then, 40 Erasers Were Transferred From Box B To Box A. In The End, There Were 8 Times As Many Erasers In Box A
Box A had 130 more erasers than Box B. Then, 40 erasers were transferred from Box B to Box A. In the end, there were 8 times as many erasers in Box A as Box B. How many erasers were there in Box A in the end?
Answer:
There were 240 erasers in Box A in the end.
Step-by-step explanation:
Represent:
Box B: x
Box A: y
Original quantity of erasers in Box A, y:
y = x + 130
Represent new quantities when 40 erasers were transferred to Box A:
x + 130 + 40
Box B:
x - 40
Equate the expressions when the new quantity of Box A is eight times the new quantity in Box B:
x + 130 + 40 = 8 (x - 40) ⇒ Equation
Find the original number of erasers in Box B, x:
x + 170 = 8x - 320
8x - x = 170 + 320
7x = 490
7x/7 = 490/7
x = 70 ⇒ original number of erasers in Box B.
The original number of eraser in Box A, y:
y = x + 130
y = 70 + 130
y = 200 ⇒ original number of erasers in Box A
When 40 erasers were transferred from Box B to Box A:
Box B = 70 - 40
Box B = 30 erasers
Box A = 200 + 40
Box A = 240 erasers
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