Question

Matt has 72 pennies in his piggy bank. Thirty-six of the pennies have even-numbered years on them, with 9 having a year ending in 0. The rest are from odd-numbered years. What is the ratio of pennies with odd-numbered years to pennies with even­ numbered years? **RATIO!**

Answer 1

If there are 36 pennies with even-numbered years, and 9 of those have a year ending in 0, then there are 36 - 9 = 27 pennies with even-numbered years that don't end in 0.

Since Matt has 72 pennies in total, and 36 of them have even-numbered years, then the remaining 72 - 36 = 36 pennies must have odd-numbered years.

The ratio of pennies with odd-numbered years to pennies with even-numbered years is:

Odd-numbered pennies : Even-numbered pennies
36 : (27 + 9)
36 : 36

Simplifying the ratio, we get:

Odd-numbered pennies : Even-numbered pennies
1 : 1

Therefore, the ratio of pennies with odd-numbered years to pennies with even-numbered years is 1:1.