Question

The ratio of the number of Meili’s stickers to Suhua is 3:7. Suhua has 32 more stickers than Meili. If Suhua gives 1/4 of her stickers to Meili, what will be the new ratio of the number of Meili’s stickers to Suhua?

Answer 1

Answer: Ratio of number of Meili's stickers to Suhua becomes 19:21.

Explanation:

Let the number of Meili's stickers be 3x

Let the number of Suhua's stickers be 7x

According to question ,

`7x-3x=32\\4x=32\\\\x=(32)/(4)\\\\x=8`

`\text{So, the number of Meili's stickers} = 3* 8=24\\\\\text{ the number of Suhua's stickers }=7* 8=56`

`\text{Now, we have given that Suhua give } (1)/(4) \text{ of her stickers to Meili}\\\\= (1)/(4)* 56\\=14`

So, now,

`\text{Number of stickers Meili has }= 24+14=38\\\\\text{Number of stickers Suhua has }=56-14=42`

Ratio becomes ,

`38:42\\=19:21`