SOLUTION: 1) Find two numbers such that 5 times the larger number plus 3 times the smaller number is 47, and 4 times the larger number minus twice the smaller number is 20. 2) Mary has 15

Question 447751: 1) Find two numbers such that 5 times the larger number plus 3 times the smaller number is 47, and 4 times the larger number minus twice the smaller number is 20.
2) Mary has 15 coins with a total value of $1.75. If the coins are nickels and quarters, how many of each kind are there?

Answer by jorel1380(3719) (Show Source): You can put this solution on YOUR website!
5x+3y=47
4x-2y=20
10x+6y=94
12x-6y=60
22x=154
x=7
y=4
The two numbers are 7 and 4.
----------------------
x+y=15
.05x+.25y=1.75
5x+25y=175
5x+5y=75
20y=100
y=5
x=10
Mary has 10 nickels and 5 quarters..
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