Question

side check #2
word problems
solve the word problems.

1. factory workers make $15 per hour and work 40 hours per week. how much should the badeallf company budget for salary each week if they have 250 workers?
2. the ferris wheel at wonder world has 24 cages, each of which holds 6 people. in 1 hour, the ferris wheel can give rides to 20 sets of people. how many people can ride in a 12-hour day?
3. the school library has 75 bookcases; each case has 6 shelves, and each shelf can hold 42 books. how many books can the library hold?
4. six friends went out to lunch. the total bill was $48. two of the people each had a $3 coupon. if they split the check equally, how much will each pay?
5. becky needs to save $432 for summer camp. she earns $4 per hour, 4 hours per day, 3 days per week. how many weeks must becky work?
6. lee and miguel each bought compact disks. lee bought 4 and miguel bought 3. if each disk was the same price and together they spent $63, how much was each compact disk?
7. james needs to earn 360 points to receive an a for the quarter. he already has grades of 95, 87, and 93. how many points must he earn on the next quiz to get an a?
8. jackie has $246 to spend on concert tickets. orchestra seats are $16 each, mezzanine seats are $12 each, and balcony seats are $10 each. if she buys 4 orchestra seats and 6 mezzanine seats, how many balcony seats can she afford to buy?

Explanation:

Problem 1

Step1: Calculate weekly pay per worker

$\$15 \times 40 = \$600$

Step2: Calculate total weekly budget

$\$600 \times 250 = \$150000$

Problem 2

Step1: Calculate riders per ride set

$24 \times 6 = 144$

Step2: Calculate hourly riders

$144 \times 20 = 2880$

Step3: Calculate daily riders

$2880 \times 12 = 34560$

Problem 3

Step1: Calculate books per bookcase

$6 \times 42 = 252$

Step2: Calculate total library capacity

$252 \times 75 = 18900$

Problem 4

Step1: Calculate total coupon value

$2 \times \$3 = \$6$

Step2: Calculate discounted total bill

$\$48 - \$6 = \$42$

Step3: Calculate cost per friend

$\frac{\$42}{6} = \$7$

Problem 5

Step1: Calculate daily earnings

$\$4 \times 4 = \$16$

Step2: Calculate weekly earnings

$\$16 \times 3 = \$48$

Step3: Calculate required work weeks

$\frac{\$432}{\$48} = 9$

Problem 6

Step1: Calculate total number of disks

$4 + 3 = 7$

Step2: Calculate cost per disk

$\frac{\$63}{7} = \$9$

Problem 7

Step1: Calculate total current points

$95 + 87 + 93 = 275$

Step2: Calculate required quiz points

$360 - 275 = 85$

Problem 8

Step1: Calculate cost of orchestra seats

$4 \times \$16 = \$64$

Step2: Calculate cost of mezzanine seats

$6 \times \$12 = \$72$

Step3: Calculate total spent on seats

$\$64 + \$72 = \$136$

Step4: Calculate remaining budget

$\$246 - \$136 = \$110$

Step5: Calculate affordable balcony seats

$\frac{\$110}{\$10} = 11$

Answer:

1. $\$150000$
2. $34560$ people
3. $18900$ books
4. $\$7$
5. $9$ weeks
6. $\$9$
7. $85$ points
8. $11$ balcony seats