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?

Respuesta :

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

Step-by-step explanation:

Let the number of Meili's stickers be 3x

Let the number of Suhua's stickers be 7x

According to question ,

[tex]7x-3x=32\\4x=32\\\\x=\frac{32}{4}\\\\x=8[/tex]

[tex]\text{So, the number of Meili's stickers} = 3\times 8=24\\\\\text{ the number of Suhua's stickers }=7\times 8=56[/tex]

[tex]\text{Now, we have given that Suhua give } \frac{1}{4} \text{ of her stickers to Meili}\\\\= \frac{1}{4}\times 56\\=14[/tex]

So, now,

[tex]\text{Number of stickers Meili has }= 24+14=38\\\\\text{Number of stickers Suhua has }=56-14=42[/tex]

Ratio becomes ,

[tex]38:42\\=19:21[/tex]