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?

Answer:Altogether they lost 150 pennies. Step-by-step explanation:X = Dante's penniesY = Mia's penniesX + Y = 350                                       1/2 X = 2/3 Y                                                                 X = 4/3 Y4/3 Y + Y = 3507/3 Y = 350Y = 350 * 3/7Y = 50 * 3Y = 150X + 150 = 350X = 200                                                      1/2 * 200 = 2/3 * 150                                                        100 .      =   100 1/2 * 200 = 100 -> Dante lost 100 pennies1/3 * 150 = 50 -> Mia lost 50 penniesAltogether they lost 150 pennies.