Question

ana saw some kitten and baby chicks for sale when she went to the pet store. altogether she counted 16 heads and 46 legs. how many of each did ana see at the pet store?

Answer 1

Ana saw 7 kitten and 9 chicks at the pet store.

Step-by-step explanation:

Given,

Number of heads = 16

Number of legs = 46

A chick has 2 legs and a kitten has 4.

Let,

x represent the number of kitten and y represent the number of chicks.

According to given statement;

x+y=16     Eqn 1

4x+2y=46   Eqn 2

Multiplying Eqn 1 by 4

$4(x+y=16)\\4x+4y=64\ \ \ Eqn\ 3$

Subtracting Eqn 2 from Eqn 3

$(4x+4y)-(4x+2y)=64-46\\4x+4y-4x-2y=18\\2y=18$

Dividing both sides by 2

$\frac{2y}{2}=\frac{18}{2}\\y=9$

Putting y=9 in Eqn 1

$x+9=16\\x=16-9\\x=7$

Ana saw 7 kitten and 9 chicks at the pet store.

Keywords: linear equation, elimination method

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