Question

African Safari While on a safari in Africa I saw a small herd of zebras and cranes wandering over the grassland. I counted 18 heads in all and counted 60 legs. How many zebras were there and how many cranes

Answer 1

Answer:

6 Cranes

Step-by-step explanation:

Given

Animals: Zebra & Cranes

$Heads = 18$

$Legs = 60$

Required

Determine the number of Cranes

Represent Zebra with Z and Cranes with C

A Zebra has 1 head and 4 legs

A Crane has 1 head and 2 legs

So:

$Z + C = 18$

$4Z + 2C = 60$

Make Z the subject in the first equation

$Z = 18 - C$

Substitute 18 - C for Z in the second

$4(18 - C) + 2C = 60$

$72 - 4C + 2C = 60$

Collect Like Terms

$- 4C + 2C = 60 - 72$

$- 2C = -12$

$2C = 12$

Solve for C

$C= 12/2$

$C = 6$