Answer:
Mee Ling must receive 95 dolls from Wei Ting so that the ratio of Mee Ling's dolls to Wei Ting's dolls becomes 3:1
Step-by-step explanation:
Let's solve this step by step.
Let W be the number of dolls Wei Ming initially had.
Let M stand for the number of dolls Wei Ming initially had.
We're given that the initial ratio of the number of dolls Mee Ling had to the number of dolls Wei Ting had was 2:7.
We're also given that Mee Ling initially had 40 dolls, so M = 40.
Now, let's find out how many dolls Wei Ting initially had (W):
If the ratio of Mee Ling's dolls to Wei Ting's dolls is 2:7, and Mee Ling initially had 40 dolls, then Wei Ting initially had:
W = (7/2)M
W = (7/2)*(40) since M = 40 dolls
W = 140 dolls (Wei Ting’s dolls = 140)
So, Wei Ting initially had 140 dolls.
Now, we need to determine how many dolls Mee Ling must receive from Wei Ting so that the ratio of Mee Ling's dolls to Wei Ting's dolls becomes 3:1.
Let x be the number of dolls Mee Ling receives from Wei Ting.
- After receiving x dolls from Wei Ting, Mee Ling will have 40 + x dolls.
_ Wei Ting is then left with 140 - x dolls.
According to the new ratio,
(40 + x)/(140 - x) = (3/1)
Cross multiplying:
(40+x) = 3(140-x)
40 + x = 420 - 3x
4x = 380
x = 95
So, Mee Ling must receive 95 dolls from Wei Ting so that the ratio of Mee Ling's dolls to Wei Ting's dolls becomes 3:1.
