Question

When opening the kitty Yosief counted 700 coins from 1€ (one euro) and 2€. Knowing that the ratio of the 1€ coin to the 2€ coin is `3:2`, how many coins of 2€ does Yosief need to add to the kitty so he can have six 200 € banknotes (6 paper notes of 200)?

Answer 1

He needs to add to his kitty by `€220`

Explanation:

Let Yosief have `3x` coins of 1€ and `2x` coins of 2€. As their total number is `700`, we have

`3x+2x=700` or `5x=700` or `x=700/5=140`

Hence, Yosief has `3xx140=420` coins of 1€ and `2xx140=280` coins of 2€.

Hence their total vale is

`420+280xx2=420+560=980€`

Yosief needs to add more to kitty to have `6` banknotes of `€200`, whose value will be `€200xx6=€1200`.

Hence he needs to add to his kitty by `€1200-€980=€220`.