math
posted by chrissy on .
in her coin collection, holly has 1/3 more coins than jim has in his collection. if the number of coins in 1/2 of holly's collection is 10 more than the number of coins in 1/3 of jim's collection, how many coins does each have?

number of coins for Jim  x
number of coins for Holly  4x/3
(1/2)(4x/3) = (1/3)x + 10
2x/3 = x/3 + 10
times 3
2x = x + 30
x = 30
Jim has 30 and Holly has 40
check:
does Holly have 1/3 more than Jim ? YES
what is 1/2 of Hollys ? 20
what is 1/3 of Jims ? 10
is 1/2 of Holly's 10 more than 1/3 of Jim's ? YES