Question

A team from the high school went on a science-and-math quiz show. The science questions were worth 10 points and the math questions were worth 9 points. The team answered a total of 9 questions and earned 85 points. How many questions did the team answer in each category?
Please answer this correctly.You have to Guess and check word problems

?=science questions

?=math questions

Answer 1

Answer: 4 science questions and 5 math questions

Step-by-step explanation:

To guess, you know that no matter how many 10 point questions you answer, the result will end in a zero. The number given is 85 so find a number you can multiply by 9 that ends in a 5. Answer: 9(5) = 45

The remaining points (40) are divisible by 10.

40 ÷ 10 = 4

Check: 5 (9-point questions) + 4 (10-point questions) = 9 total questions

             45 points                   + 40 points                      = 85 points

Note that this problem can be solved mathematically by setting up a system of equations:

Points:  9x + 10y = 85

Quantity:  x +  y =  9