Carmen's penny bank is 3/4 full. After she removes 280 pennies, it is 1/2 full. How many pennies can Carmen's bank hold?

Question

i need help with solving how many pennies does carmen still hold.

Answer 1

3/4x-280=x/2

 

findvthe common factor for 3/4x-280/1 which is 4

 

3/4x-280/1

 

3x-1120

=========

       4

 

3x-1120/4=x/2

 

cross multiply

 

4x=6x-2240

2240=6x-4x

2240=2x

x=1120 pennies

 

it can hold 1120 pennies

 

to check 

3/4*1120=840 pennies

840-280=560 pennies

1/2*1120=560 pennies

 

 

Answer 2

280 is 1/4 the amount of pennies in the bank, multiply 280 by 4.   280x4=1120  (full bank)

She had 3/4 and had 1/2 remaining. She lost a 1/4, so 1/4 = 280