SOLUTION: Suppose Jasmine has 1-peso and 5-peso coins and has a total of P80. if she has a total of 20 coins , how many of each coin does she have?

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Suppose Jasmine has 1-peso and 5-peso coins and has a total of P80. if she has a total of 20 coins , how many of each coin does she have?      Log On


   



Question 1065896: Suppose Jasmine has 1-peso and 5-peso coins and has a total of P80. if she has a total of 20 coins , how many of each coin does she have?
Answer by math_helper(2461) About Me  (Show Source):
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Let A = number of 1-peso coins
Let B = number of 5-peso coins

A+5B = 80 (1)
A+B = 20 (2)
(1)-(2) :
0A + 4B = 60
B = 60/4 = 15, so 15 5-peso coins
B=15 —> A=20-15=5, so 5 1-peso coins

Ans: 15 five-peso coins and 5 one-peso coins

Check: 15 + 5 = 20 (ok)
5(15) + 5(1) = 75 + 5 = 80 (ok)