Salma's penny bank is 1/2 full. After she adds 360 pennies, it is 4/5 full. How many pennies can Salma's bank hold?

2 answers

1/2 = 5/10
4/5 = 8/10

8/10 - 5/10 = 3/10

3/10x = 360

x = 360 / (3/10)

x = 360 * 10/3

x = 1200
( 1 / 2 ) x + 360 = ( 4 / 5 ) x

360 = ( 4 / 5 ) x - ( 1 / 2 ) x

360 = ( 8 / 10 ) x - ( 5 / 10 ) x

360 = ( 3 / 10 ) x

( 3 / 10 ) x = 360 Multiply both sides by 10

3 x = 360 * 10

3 x = 3600 Divide both sides by 3

x = 3600 / 3

x = 1200 pennies