Question

Keiko's penny bank is 1/6

full. After she adds 320 pennies, 1/2 it is full. How many pennies can Keiko's bank hold?

Answer 1

Answer: 960

Explanation:

Let the number of pennies Keiko's bank hold be x

Now, According to the question,

`(1)/(6) * x+320=(1)/(2) * x`

⇒
`(1)/(6) * x+320=(x)/(2)`

⇒
`((x+1960))/(6)=(x)/(2)`

⇒ 2(x + 1920) = 6x

⇒ 2x + 3840 = 6x

⇒ 6x - 2x = 3840

⇒ 4x = 3840

⇒
`x = (3840)/(4)`

⇒ x = 960

Hence, the total number of pennies Keiko's bank hold = 960.