Trey has 180 coins in his piggy bank. of these coins,1/12 of the coins are dimes,2/9 are quarters,1/6 are nickels, and the rest are pennies. how many pennies does trey have in his piggy bank?

180 coins total.

You need to find out how many pennies there are out of the 180 coins in Trey's piggy bank. So, you need to first find the total number of the other coins in the piggy bank. To do so, multiply each fraction by 180.

Dimes:
1/12 * 180 = 15 dimes

Quarters:
2/9 * 180 = 40 quarters

Nickels:
1/6 * 180 = 30 nickels

Now, you can add up the dimes, quarters, and nickels and subtract that from the total 180 coins to find out how many pennies Trey has in his piggy bank.

180-(15+40+30)=95
180-85=95

Total=pennies+dimes+quarter+nickles
total-dimes-quarters-nickles=pennies

find how many of each
1/12 of all are dimes
1/12 times 180=15 dimes

2/9 of all are quarters
2/9 times 180=40 quarters

1/6 are of all are nickles
1/6 times 180=30 nickles

toatl=180
180-15-40-30=pennies
95=pennies

he has 95 pennies
(anohter harder way is to add alll fractions and find the fraction of pennies)

1/12+2/9+1/6=3/36+8/36+6/36=17/36
17/36+pennies=total=36/36
pennies=19/36 of total
pennies=19/36 times 180
pennies=95

95 pennies