Coins

In the ticket machine were together one hundred coins. They were only 20 and 50-cent coins. The sum total was 29 euros and 60 cents. How many were in ticket machine coins, and which type?

Correct answer:

x =  68 (20 cent)
y =  32 (50 cent)

Step-by-step explanation:


x+y = 100
0.2x + 0.5y = 29.6

x+y = 100
0.2·x + 0.5·y = 29.6

x+y = 100
0.2x+0.5y = 29.6

Row 2 - 0.2 · Row 1 → Row 2
x+y = 100
0.3y = 9.6


y = 9.6/0.3 = 32
x = 100-y = 100-32 = 68

x = 68
y = 32

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