Johnny, Zane and Lothar shared some snails in the ratio 5 : 1: 2.

(a) What fraction of the total number of snails was Johnny's share?

(b) In a race, Lothar lost half of his snails to Zane. After the game, Zane had 3 more snails than Lothar. How many snails did Zane have after the game?

Guest Jul 22, 2022

#1**+1 **

(a) 5 / (5 + 1 + 2) = 5 / 8

(b) Before the race Lothar had (2/8) = 1/4 of the total

When he lost (1/2) he now had 1/8 of the total (he lost 1/8 of the total )

Zane originally had (1/8) of the total

After the race he now has (1/8) + 1/8 = 2/8 = 1/4 of the total

So

(1/4) total = (1/8) total + 3

(1/4 - 1/8) total = 3

(1/8)total = 3

total = 24

Zane had (1/4) (24) = 6 at the end

Lothar had ( 1/8) (24) = 3 at the end

Johnny had (5/8) (24) = 15 at the end

CPhill Jul 22, 2022