kim, laura and molly share £385
the ratio of the amount of money kim gets to amount of money molly gets is 2:5 and kim gets £105 less than molly gets what
percentage of the £385 does laura get?
K/M = 2/5 so K = 2M/5
M = K + 105 so M = 2M/5 + 105 or 3M/5 = 105 so M = 175
This means K = 175 - 105 = 70
Hence L = 385 - 175 - 70 or L = 140
As a percentage of 385, Laura gets 100L/385 = 100*140/385 → 36.36%
Guest
Let Kim's share =K, then:
Molly's share =K+105, But,
K=0.4[K+105], solve for K
K =70 pounds - Kim's share
70+105 =175 Molly's share
385 - [70+175] =140 pounds - Laura's share.
140/385 =36.36% percentage that Laura gets.