Applied Mathematics Level 4 and 1 Flashcards

A warehouse worker earns $14.75 per hour and works 42.5 hours in a week. Hours beyond 40 are paid at 1.5 times the regular rate. What is the worker's total weekly pay?

Answer: $645.31

Regular pay: 40 × $14.75 = $590.00. Overtime rate: $14.75 × 1.5 = $22.125. Overtime hours: 2.5. Overtime pay: 2.5 × $22.125 = $55.31. Total: $590.00 + $55.31 = $645.31.

A delivery truck gets 8.4 miles per gallon and must travel 378 miles. If diesel costs $3.85 per gallon, what is the total fuel cost for the trip?

Answer: $173.25

Gallons needed: 378 ÷ 8.4 = 45 gallons. Total cost: 45 × $3.85 = $173.25.

A concrete mix requires 2 parts cement, 3 parts sand, and 4 parts gravel by weight. If a job requires 135 kilograms of gravel, how many kilograms of cement are needed?

Answer: 67.5

The ratio of cement to gravel is 2:4. Set up the proportion: 2/4 = x/135. Solving gives x = 135 × (2/4) = 67.5 kilograms of cement.

A store marks up a wholesale item by 40% and then applies a 15% sale discount on the marked-up price. If the wholesale cost is $120, what is the final sale price?

Answer: $142.80

Marked-up price: $120 × 1.40 = $168.00. After 15% discount: $168.00 × 0.85 = $142.80. Note that the discount is applied to the marked-up price, not the original cost.

A restaurant bill totals $67.50 before tax. A sales tax of 8.5% is added, and the customer leaves an 18% tip calculated on the pre-tax amount. What is the total amount paid?

Answer: $85.39

Tax: $67.50 × 0.085 = $5.74. Tip: $67.50 × 0.18 = $12.15. Total: $67.50 + $5.74 + $12.15 = $85.39.

A bakery arranges muffins on 5 shelves. The bottom shelf holds 15 muffins, and each shelf above holds 3 fewer muffins than the one below it. How many muffins are displayed in total?

Answer: 45

The shelves hold 15, 12, 9, 6, and 3 muffins from bottom to top. Total: 15 + 12 + 9 + 6 + 3 = 45 muffins.