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Molly took part in a math quiz and scored 55 points on 30 questions. Of the questions, there were 3-point word problems, 2-point calculation
Question
Molly took part in a math quiz and scored 55 points on 30 questions. Of the questions, there were 3-point word problems, 2-point calculation questions, and 1-point multiple-choice questions. She answered 5 more 2-point questions than 1-point questions correctly. Find how many of each type of question she answered correctly.
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Mathematics
3 years
2021-08-27T08:12:46+00:00
2021-08-27T08:12:46+00:00 1 Answers
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Answer:
Step-by-step explanation:
Given
Represent
3-point word with T;
2-point with U and
1-point with V
— (1)
If total questions is 30, then
— (2)
If total points is 55, then
— (3)
Substitute 5 + V for U in (2) and (3)
— (2)
—- (4)
— (3)
Divide through by 3
—- (5)
Subtract (5) from (4)
Recall that:
Substitute 10 for V in (5)