Solutions?
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Story Problems
Potpourri
100

7w = 21

Is w = 3 a solution?

7(3) = 21 

21 = 21

Solution! :)

100

v + 29 = 50

v = 21

100

The total cost of tickets to a basketball game was divided equally among 5 friends. Each friend paid $32. Write an equation and find the total cost of the tickets.

t/5 = 32

t = 160

The total cost was $160.

100

The inverse operation of division.

What is multiplication?

200

32 = 18 + y

Is y = 18 a solution?

32 = 18 + 18

32 not equal to 36

Not a solution! :(

200

6h = 216

h = 36

200

Mr. C. pledged $4 per book for a read-a-thon and gave Carmen $44. Write an equation and find how many books Carmen read.

4(b) = 44

b = 11

Carmen read 11 books.

200

Write a related equation using the inverse operation.

n + 300 = 599

599 - 300 = n

300

g/5 = 25

Is g = 150 a solution?

150/5 = 25

30 is not equal to 25

Not a solution! :(

300

m - 75 = 55

m = 130

300

Morgan finished a race in 58 seconds. This was 4 seconds faster than her best practice time. Write an equation and find what his best practice time was before this race.

r - 4 = 58

r = 62

The best practice time used to be 62 seconds.

300

The two operations where the order is very important!

What are subtraction and division?

400

r - 49 = 37

Is r = 86 a solution?

86 - 49 = 37

37 = 37

Solution! :)

400

b/12 = 156

b = 13

400

You need to sell a total of 25 tickets for a fundraiser. So far, you have sold 9 tickets. Write an equation and find how many more tickets you still need to sell.

9 + k = 25

k = 16

You need to sell 16 more tickets.

400
The order of operations

Grouping symbols

Exponents

Multiplication/Division

Addition/Subtraction

500

221 - p = 81

Is p = 160 a solution?

221 - 160 = 81

61 is not equal to 81

Not a solution! :(

500

187 = 17c

c = 11

500

A rectangular park has a length of 25 feet. The area of the park is 500 square feet. Write an equation and find the width of the park.

250 = 25(w)

20 = w

The width is 20 feet.

500

The answers to problems for all four operations are called...

addition > sum

subtraction > difference

multiplication > product

division > quotient