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Guess-and-check word problems

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A team from the secondary school went on a science-and-math quiz show. The science questions were worth 1 point and the math questions were worth 4 points. The team answered a total of 7 questions and earned 22 points. How many questions did the team answer in each category?

 Mar 6, 2021

2+0 Answers

 #1
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help me plssssss!

 Mar 6, 2021
 #2
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Systems of equations: 

 

x+y = 7

x+4y = 22

 

x = 7-y

 

Therefore, we plug it in, 7-y+4y = 22, which is 7+3y = 22, which is 3y=15, and y= 5.

 

so there are 5 math questions and 2 science questions. 

 Mar 6, 2021

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