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Hunter-Best [27]
3 years ago
9

Shawna and Kai both work at the same pet store. On Monday, Shawna counts 52 birds and cats in the store. For the same animals, K

ai counts 138 legs. How many birds and cats are in the pet store?
There are____birds and____cats.
Mathematics
1 answer:
Maslowich3 years ago
4 0
X= # of birds
y= # of cats

EQUATION 1:
x + y= 52

EQUATION 2:
birds= 2 legs
cats= 4 legs

2x + 4y= 138


STEP 1:
Solve for one variable in equation 1

x + y= 52
subtract y from both sides
x= 52 - y


STEP 2:
substitute x value in equation 2

2x + 4y= 138
2(52 - y) + 4y= 138
104 - 2y + 4y= 138
104 + 2y= 138
subtract 104 from both sides
2y= 34
divide both sides by 2
y= 17 cats


STEP 3:
substitute y value in either equation
x + y= 52
x + 17= 52
subtract 17 from both sides
x= 35 birds


CHECK:
2x + 4y= 138
2(35) + 4(17)= 138
70 + 68= 138
138= 138


ANSWER: There are 17 cats and 35 birds

Hope this helps! :)
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