Calculating Earnings and Costs

The video tutorial covers applying operations with rational numbers through various examples. It begins with an introduction to interpreting word problems and proceeds with examples involving calculating earnings, costs, and distances using fractions and decimals. The tutorial emphasizes the importance of following the order of operations and converting between fractions and decimals. Each example is explained step-by-step, highlighting common mistakes and providing multiple solution methods. The video concludes with practical applications, such as calculating savings and earnings from different scenarios.

Naomi earned $54 over two days. If she worked a total of 6.75 hours, how much did she earn per hour?

• $6

• $9

• $7

• $8

Casey bought 6.2 yards of blue fabric and 5.4 yards of red fabric for $58. What is the cost per yard?

• $4

• $5

• $6

• $7

Ross got half of the parts of a question correct, which was worth 37.5 points. How many points did he receive?

• 18.5

• 18.75

• 20

• 19

If Charles paid for three-fifths of a $14.50 bill, how much did he pay?

• $8.70

• $8.50

• $8.90

• $9.00

Bob drove five-sevenths of a 188.3-mile trip. How many miles did he drive?

• 133.5

• 135

• 134.5

• 136

The winner of a raffle receives three-fourths of $530.40. How much do they get?

• $400

• $390

• $397.80

• $395.30

Samuel wants to buy batteries costing $5.60 each with his earnings from recycling. If he earned $11.20, how many batteries can he buy?

• 4

• 3

• 2

• 1

Tony wants to buy video games costing $35.75 each with his savings. If he saved $134, how many games can he buy?

• 5

• 6

• 4

• 3

Nadia charges $7.50 per hour for babysitting. If she worked 38.5 hours, how much did she earn?

• $295

• $290

• $285

• $288.75

If Nadia raises her rate by $0.75, how many hours must she work to earn the same amount as before?

• 33

• 34

• 36

• 35