If a box containing 72 eggs is dropped onto the floor, which one of the following cannot be the ratio of the broken eggs to those that are not broken?
(1) 4:1
(2) 2:1
(3) 1:5
(4) 5:7
2 answers
(4) 5:7
As long as the sum of the terms of the ratios divides evenly into 72,
the ratio is possible.
for 4:1, the sum would be 5, and 5 does not divide evenly into 72
so the ratio we cannot have is (1) 4:1
5:7 would work ....
Broken : not broken = 5 : 7 or 5x : 7x
5x+7x = 72
12x = 72
x = 6
so we could have 30 broken and 42 not broken, where
30:42
= 5 : 7
the ratio is possible.
for 4:1, the sum would be 5, and 5 does not divide evenly into 72
so the ratio we cannot have is (1) 4:1
5:7 would work ....
Broken : not broken = 5 : 7 or 5x : 7x
5x+7x = 72
12x = 72
x = 6
so we could have 30 broken and 42 not broken, where
30:42
= 5 : 7
9 answers