Anil, Bel, and Chak found many golden eggs. For every 5 eggs that Anil found, Bel found 4. For every 5 eggs that Bel found, Chak found 6. They must have a total of at least ____ eggs.
A:B:C
5:4
5:6 We need the least common multiple of 4 and 5 (it is 20) to make the B work
if we make B 20, an increase of a factor of 5, we must increase A by a factor of 5 and C by a factor of 4
A: B: C
25:20:24 25 +20 + 24 = 69 eggs
Another way A/B = 5/4 B/C = 5/6 so A/B * B/C = A/C = 5/4 * 5/6 = 25/24 in simplest form
if A = 25 and C = 24 then B = 20
A:B:C
5:4
5:6 We need the least common multiple of 4 and 5 (it is 20) to make the B work
if we make B 20, an increase of a factor of 5, we must increase A by a factor of 5 and C by a factor of 4
A: B: C
25:20:24 25 +20 + 24 = 69 eggs
Another way A/B = 5/4 B/C = 5/6 so A/B * B/C = A/C = 5/4 * 5/6 = 25/24 in simplest form
if A = 25 and C = 24 then B = 20