- Rick renovated his home. He made his bedroom 40% larger (length and width) than its original size. If the original dimensions were 144 inches by 168 inches, how big is his room now if measured in feet?
- 12 ft × 14 ft
- 16.8 ft × 19.6 ft
- 4.8 ft × 5.6 ft
- 201.6 ft × 235.2 ft
To enlarge each dimension by 40%, multiply by 1.40:
\(144 \times 1.40 = 201.6 \text{ inches}\)
\(168 \times 1.40 = 235.2 \text{ inches}\)
Converting to feet gives \(\frac{201.6}{12} = 16.8 \text{ ft}\) and \(\frac{235.2}{12} = 19.6 \text{ ft}\), so the room measures 16.8 ft × 19.6 ft.
- Maria paid $28 for a jacket that was discounted by 30%. What was the original price of the jacket?
- $36
- $47
- $40
- $42.50
Let the original price be \(P\). A 30% discount means Maria paid 70% of \(P\), so \(0.70P = 28\).
Solving gives \(P = \frac{28}{0.70} = 40\). Thus, the original price was $40.
- Derek received six job offers from the 15 interviews he did last month. Which ratio best describes the relationship between the number of jobs he was not offered and the number of jobs for which he interviewed?
- \(\frac{6}{15}\)
- \(\frac{15}{6}\)
- \(\frac{3}{5}\)
- \(\frac{2}{3}\)
Derek did 15 interviews and received six offers, so he was not offered \(15 − 6 = 9\) positions. The ratio of not offered to interviewed is 9:15, which simplifies by dividing both terms by 3 to 3:5. Hence, the ratio is \(\frac{3}{5}\).
- Gordon purchased a television when his local electronics store had a sale. The television was offered at 30% off its original price of $472. What was the sale price that Gordon paid?
- $141.60
- $225.70
- $305.30
- $330.40
A 30% discount on $472 means Gordon paid 70% of the original price:
\(472 \times 0.70 = 330.4\)
Therefore, the sale price was $330.40.
- Within a certain nursing program, 25% of the class wanted to work with infants, 60% of the class wanted to work with the elderly, 10% of the class wanted to assist general practitioners in private practices, and the rest were undecided. What fraction of the class wanted to work with the elderly?
- \(\frac{1}{4}\)
- \(\frac{1}{10}\)
- \(\frac{3}{5}\)
- \(\frac{1}{20}\)
60% of the class wanted to work with the elderly. Converting to a fraction: \(\frac{60}{100} = \frac{3}{5}\). Thus, \(\frac{3}{5}\) of the class wanted to work with the elderly.
- Veronica has to create the holiday schedule for the neonatal unit at her hospital. She knows that 35% of the staff members will not be available because they are taking vacation days during the holiday. Of the remaining staff members who will be available, only 20% are certified to work in the neonatal unit. What percentage of the total staff is certified and available to work in the neonatal unit during the holiday?
- 7%
- 13%
- 65%
- 80%
If 35% are unavailable, 65% remain available. Of those, 20% are certified:
\(0.65 \times 0.20 = 0.13 =13\%\)
So, 13% of the total staff is both certified and available.
- A patient requires a 30% decrease in the dosage of his medication. His current dosage is 340 mg. What will his dosage be after the decrease?
- 70 mg
- 238 mg
- 270 mg
- 340 mg
A 30% decrease from 340 mg means the patient takes 70% of the original dose:
\(340 \times 0.70 = 238 \text{ mg}\)
- A study about anorexia was conducted on 100 patients. Within that patient population, 70% were women and 10% of the men were overweight as children. How many male patients in the study were NOT overweight as children?
- 3
- 10
- 27
- 30
There are 100 patients, 70% women ⇒ 30% men: \(100 \times 0.30 = 30 \text{ men}\). Of these, 10% were overweight as children: \(30 \times 0.10 = 3\). So, men not overweight as children: \(30 – 3 = 27\).
- Susan’s gross annual salary is $40,000. She contributes 10% of her salary before taxes to a retirement account, and she pays 25% of her remaining salary in state and federal taxes. Finally, she pays $30 per month for health insurance. What is Susan’s annual take-home pay?
- $25,640
- $25,970
- $26,640
- $26,970
Susan contributes 10%:
\(0.10 \times 40,000 = 4,000\)
This leaves \(40,000 – 4,000 = 36,000\). She then pays 25% taxes on the remainder:
\(0.25 \times 36,000 = 9,000\)
This leaves \(36,000 – 9,000 = 27,000\). Annual health insurance is \($30 × 12 = $360\), so take‑home pay is:
\(27,000 – 360 = 26,640\)
- In order for a school to allow a vending machine to be placed next to the cafeteria, 65% of the school’s population must ask for it. If 340 of the school’s 650 students have requested the vending machines, how many more are needed to get the vending machines?
- 75
- 83
- 89
- 99
65% of 650 students must ask:
\(0.65 \times 650 = 422.5\)
This means at least 423 students must ask. Having 340 already, the number still needed is \(423 – 340 = 83\).