Question

Alice and Claire go apple picking. When they are done, Claire has 3 times as many apples in her basket as Alice has in hers. (Note: All of the apples are whole.)What is the ratio of Alice’s apples to Claire’s apples?For every one apple Alice has, Claire has

Answer 1

The equation that relates the number of apples that Alice got (A) with the number of apples that Claire got (C) is given by the equation:

C = 3 A (three times A)

Then the RATIO of Alice's apples over Claire's apples is:

A / C

and since we have an expression for (C) in the equation we built: (C = 3 A), we can use it to replace C in the denominator:

A / C = A / (3 A)

and now we can simplify the factors A in numerator and denominator and end up with:

Then the RATIO of Alice's apples over Claire's apples is: 1 / 3 (one over three).

For every apple Alice has, Claire has THREE.