Will and Lina share some marbles. 2/3 of Will's marbles is equal to 2/5 of Lina's marbles. Given that Lina has 14 marbles more than Will, how many marbles do they have altogether?
2/3 w = 2/5 L
times 15
10w = 6L
L - w = 14
L = w+14, now substitute
10w = 6(w+14)
10w = 6w + 84
4w = 84
w = 21, then L = 35
together they have 56 marbles
check:
2/3 of w = 2/3(21) = 14
2/5 of L = 2/5(35) = 14, check!!
my answer is correct