Question

Christine's Penny bank is 1/5 full after she adds 562 pennies it is 7/10 full how many pennies can her bank hold?​

Answer 1

1,124 pennies.

Explanation:

Let x represent the total amount of coins Christine's penny bank can hold.

We know that it is initially 1/5 full. So, the amount of coins in the bank is:

`(1)/(5)x`

We know that she adds 562 pennies in it. So, we will add 562 to our expression:

`(1)/(5)x+562`

And we know that after adding 562 pennies, the bank is now 7/10 full. Therefore:

`(1)/(5)x+562=(7)/(10)x`

To find out how many coins the bank can hold, we will simply solve for x.

First, let's multiply both sides by 10 to remove the fractions:

`10((1)/(5)x+562)=10((7)/(10)x)`

Distribute:

`2x+5620=7x`

Subtract 2x from both sides:

`5x=5620`

Divide both sides by 5:

`x=1124`

Therefore, Christine's penny bank can hold a maximum of 1,124 pennies.

And we're done!