Jovi Took A 50-Item Test. Each Correct Answer Worth Five Points And Each Wrong Answer Worth One Point. If Her Total Score Is 194 Points, How Many Item

Jovi took a 50-item test. Each correct answer worth five points and each wrong answer worth one point. If her total score is 194 points, how many items did she answer correctly?

Number Problems:

Answer:

Jovi had answered 36 items correctly.

Step-by-step explanation:

To solve for the number of items Jovi had answered correctly, let x be the number of items she had answered correctly and y be the items she had answered wrong then, x + y = 50 and 5x + y = 194 since there are 50 items on the test and her total score is 194. Solve for x by eliminating y by multiplying -1(5x + y = 194) it will give -5x - y = -194 then add this to x + y = 50 to eliminate y such that (-5x - y = -194) + (x + y = 50). Thus, -4x = -144 and x = 36. Therefore, Jovi got 36 items correct. If she got 36 items correct then 50 - 36 = 14 which means that she had answered 14 items incorrect.

To check if the answer obtained is correct, use x + y = 50 which is 36 + 14 = 50, 50 = 50. And 5x + y = 194 then 5(36) + 14 = 194 which is 180 + 14 = 194. Therefore 194 = 194.

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