Scan QR code or get instant email to install app

Skip to content
#
A petting zoo has a combined total of 16 frogs and chickens with a total of 42 legs. What is the difference between the number of frogs and the number of chickens?

### Related Information

Question:

A
6

explanation

Convert the word problem into a system of linear equations and solve for each variable in order to calculate the difference. Let *f* equal the number of frogs and *c* equal the number of chickens. Each frog has 4 legs and each chicken has 2 legs.

f + c = 16

4f + 2c = 42

Use any method to solve the system. By multiplying the first equation by -2 and combining the equations, the number of frogs can be found:

2f = 10, so there are 5 frogs. 5 + c = 16, so there are 11 chickens.

The difference is then 11 - 5 = 6.

Take more free practice tests for other PASSEMALL topics with our accuplacer practice test now!

Comments