# MATHS

Box A contained only 50 cent coins while Box B contained only 20 cents coins, Box B has 60 more coins than Box A but the value of all the coins in Box A is \$4.50 more than the value of all the coins in Box B. Find the amount of money in Box A.

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1. number of coins in box B ---- b , 20 cent pieces
number of coins in box A ---- a , 50 cent pieces

equation dealing with number of coins:
b = a+60

equation dealing with value of coins:
50a - 20b = 450
5a - 2b = 45
use substitution:
5a - 2(a+60) = 45
5a - 2a - 120 = 45
3a = 165
a = 55 , then b = 115

check:
Box A contains 55(50) = \$27.50
box B contains 20(115) = \$23.00
box A contains 27.50 - 23.00 more , or \$4.50

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Reiny

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