Michael has a jar of pennies that is 1/4 full. When he adds 30 pennies, the jar becomes 1/3 full. When Michael's jar of pennies is 3/4 full, how many pennies will it contain?
Well, when the jar goes from 1/4 to 1/3 it is 30 pennies:
1/3 - 1/4 = 30
4/12 -3/12 = 1/12 = 30 pennies
3/4 full = 9/12 1/12 is 30 then 9/12 is NINE TIMES MORE or 9x30= 270 pennies
Michael has a jar of pennies that is 1/4 full. When he adds 30 pennies, the jar becomes 1/3 full. When Michael's jar of pennies is 3/4 full, how many pennies will it contain?
Let the number P=pennies when the Jar is 1/4 full. But we have:
1/4P + 30=1/3P
1/3P - 1/4P=30
1/12P=30 multiply both sides by 12
P=360 pennies when the jar is 1/4 full, but since 3/4 is 3 times 1/4, therefore,
360 X 3=1,080 pennie when the jar 3/4 full.
A slight mistake in guest#2 answer.
He/she should have said P =pennies when jar is FULL (not 1/4 full)
then
1/4P + 30 = 1/3P
1/3P - 1/4P = 30
1/12P = 30
Multiply both sides by 12
P=Full jar=360
We want to know how many pennies when 3/4 full
3/4 P = 3/4 (360) = 270 when 3/4 full.