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.

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)

step-by-step explanation:

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