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 ma

Question

3 years ago

15

ny of each did ana see at the pet store?

1 answer:

qwelly [4] · Answer 1 · 2022-02-04T04:33:34+03:00

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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