Question

There were 75 roasted turkeys at Ally's Eats. Bob's Goods had 4/5 as many roasted turkeys as Ally's Eats. If Ally's Eats had 5/6 as many roasted turkeys as Charlotte's Market what was the average number of roasted turkeys owned by each of the three shops? Please help! My teacher thinks ya girl is a genius!

Answer 1

75 roasted turkeys.

Explanation:

Ally's Eats had 75 roasted turkeys.

Bob's Goods had 4/5 as many roasted turkeys as Ally's Eats, hence, the number of roasted turkeys Bob's Goods had is:

4/5 * 75 = 60 roasted turkeys

Ally's Eats had 5/6 as many roasted turkeys as Charlotte's Market. In other words, Charlotte's market had 6/5 as many roasted turkeys as Ally's Eats:

6/5 * 75 = 90 roasted turkeys.

The average is given as the sum of all toasted turkeys in the three shops divided by 3. Hence:

A = (75 + 60 + 90) / 3

A = 225 / 3 = 75 roasted turkeys

The average number of roasted turkeys in the three shops is 75.