Together, Dante and Mia have a total of 350 pennies in their piggy banks. After Dante lost ½ of his pennies and Mia lost ⅓ of her pennies, they both had an equal number of pennies. Altogether, how many pennies did they lose?

x=D pennies, y=Mia pennies

x/2 = 2Y/3 She lost 1/3, so she has 2/3 left

But x+y = 350

x=350-y

(350-y) / 2 = 2y/3

cross-multiply

3 (350-y) = 4y

1050-3y = 4y

7y=1050

y=150 Mia; she loses a third, she has 100

x=200 Dante; he loses half, he has 100