Problem Solving Answers

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For the school concert band performance, student tickets cost $8 each and adult tickets cost $12 each. The sellers collected $3,200 from 300 tickets sold. How many adult tickets and student tickets were sold?

A
100 adult tickets; 200 student tickets
B
140 adult tickets; 160 student tickets
C
160 adult tickets; 140 student tickets
D
200 adult tickets; 100 student tickets
2
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One-third of a number decreased by six equals eight. What is the number?

A
6
B
14
C
24
D
42
3

The length of a rectangle is three times longer than its width. The perimeter of the rectangle is 16 feet. If x represents the width of the rectangle in feet, which equation can be used to find its value?

A
3x + x = 16
B
(3x)(x) = 16
C
3x + 3x + x + x = 16
D
3x + 3x + x = 16
4

Read the word problem below.Jill had $90. She bought a skirt that normally costs $42 but was on sale for half price. She also bought a T-shirt that was $8 off its regular price. Before sales tax, the total cost of the clothes was $31. What was the regular price of the T-shirt? What question is being asked in this word problem?

A
What is the regular price of the skirt?
B
How much money does Jill have left?
C
How much does the T-shirt normally cost?
D
What is the amount Jill pays in sales tax?
5

Read the word problem below.Soni has 196 pencils. If she puts equal amounts of pencils into eight boxes, she has four pencils left. How many pencils does she put in each box? Which strategy could help solve this word problem?

A
If x represents the number of pencils per box, solve the equation 4x + 8 = 196.
B
Divide 196 by the sum of 4 and 8 and find the quotient.
C
Divide 196 by 4 and check that the remainder is 8.
D
If x represents the number of pencils per box, solve the equation 8x + 4 = 196.
6

In seven years, Huang will be two times as old as he was last year. How old is he now?

A
5 years old
B
8 years old
C
9 years old
D
14 years old
7

Leda makes 73 oatmeal muffins for a bake sale. She accidentally drops five of them and throws them away. She puts as many of the remaining muffins as possible into 13 containers so that each container has the same number of muffins. How many of the remaining muffins does Ieda have left over?

A
2 oatmeal muffins
B
3 oatmeal muffins
C
4 oatmeal muffins
D
5 oatmeal muffins
8

If one-third of a number, x, is greater than five less than twice the number, which of the following is true?

A
x < 3
B
x > –3
C
x greater-than negative three-fifths
Option C
D
x less-than three-fifths
Option D
9

Two times a number plus four is 22. What is the number?

A
2
B
6
C
9
D
11

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