If the ratio of apples to bananas is 4 to 3 and the ratio of bananas to cucumbers is 1 to 5, what is the ratio of apples to cucumbers?

A. 4:15

B. 1:3

C. 2:5

D. 4:5

E. 7:6

The OA is A.

I think that a quick way to solve this PS question is as follow,

$$\frac{apples}{bananas}\cdot\frac{bananas}{cucumbers}=\ \frac{4}{3}\cdot\frac{1}{5}=\frac{4}{15}\frac{apples}{cucumbers},\ right?$$

Is there another approach to this question? Can any experts help, please? Thanks!

## If the ratio of apples to bananas is 4 to 3 and the ratio...

##### This topic has expert replies

- DavidG@VeritasPrep
- Legendary Member
**Posts:**2666**Joined:**14 Jan 2015**Location:**Boston, MA**Thanked**: 1153 times**Followed by:**125 members**GMAT Score:**770

Your approach is great! But you could also pick numbers.AAPL wrote:If the ratio of apples to bananas is 4 to 3 and the ratio of bananas to cucumbers is 1 to 5, what is the ratio of apples to cucumbers?

A. 4:15

B. 1:3

C. 2:5

D. 4:5

E. 7:6

The OA is A.

I think that a quick way to solve this PS question is as follow,

$$\frac{apples}{bananas}\cdot\frac{bananas}{cucumbers}=\ \frac{4}{3}\cdot\frac{1}{5}=\frac{4}{15}\frac{apples}{cucumbers},\ right?$$

Is there another approach to this question? Can any experts help, please? Thanks!

Say apples = 4 and bananas = 3.

If the ratio of bananas: cucumbers I 1 to 5, and there are 3 bananas, there'd have to be 3*5 = 15 cucumbers.

apples: cucumbers = 4:15, or A

### GMAT/MBA Expert

- Scott@TargetTestPrep
- GMAT Instructor
**Posts:**4430**Joined:**25 Apr 2015**Location:**Los Angeles, CA**Thanked**: 43 times**Followed by:**21 members

We have that the ratio of apples to bananas = 4 : 3.AAPL wrote:If the ratio of apples to bananas is 4 to 3 and the ratio of bananas to cucumbers is 1 to 5, what is the ratio of apples to cucumbers?

A. 4:15

B. 1:3

C. 2:5

D. 4:5

E. 7:6

The ratio of bananas to cucumbers is 1 : 5.

Multiplying the second ratio by 3, we have:

bananas to cucumbers is 3 : 15

We see that the ratios are compatible: apples : bananas : cucumbers = 4 : 3 : 15

So the ratio of apples to cucumbers is 4 : 15.

Answer: A

**Scott Woodbury-Stewart**

Founder and CEO

scott@targettestprep.com

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