Question

Alan had thrice as many stickers as Janani. After Alan and Janani had given 40% and 20% of their stickers to Wendy respectively, the number of stickers that Wendy had increasedby1/4.Wendyhad1680stickersintheend.HowmanystickerdidJanani have in the end?

Answer 1

Janani now has 192 stickers.

Explanation:

Let's solve this as a system of equations.

`a = 3j` (Alan's stickers equal 3 times Janani's stickers)

`0.4a + 0.2j = .25w` (40% of Alan's stickers and 20% of Janani's stickers equal a quarter of Wendy's stickers)

First, let's replace `.25w` with a number, since we don't need to find Wendy's stickers. Remember that Wendy's total stickers PLUS the extra .25 equaled 1680.

`1.25w = 1680`
`0.25w = 336` (just divide by 5)
So, `0.4a + 0.2j = 336`

Now let's multiply by 2.5 to get 0.4a to be 1a.
`a + 0.5j = 840`

If `a = 3j`, then we can replace the `a` here with `3j`.
`3j + 0.5j = 840`
`3.5j = 840`
`j = 240`

So, Janani HAD 240 stickers. Remember, we only need to find how many Janani had in the end. If she ended up giving 20% of the stickers to Wendy, then she had 80% of her 240 stickers left. This means Janani then had 240 x 0.8, or `192` `stickers`.

Final Answer