jessica buys 10 cans of paint red paint costs 1 per can and blue paint costs 2 per can in total she spends 16 how many red cans did she buy

ATI TEAS 7

TEAS Math Practice Test

1. Jessica buys 10 cans of paint. Red paint costs $1 per can, and blue paint costs $2 per can. In total, she spends $16. How many red cans did she buy?

A. 2
B. 3
C. 4
D. 5

Correct answer: C

Rationale: Let r be the number of red cans and b be the number of blue cans. The total cans equation is r + b = 10. The total cost equation is r + 2b = 16. By solving these equations simultaneously, we find r = 4. Therefore, Jessica bought 4 red cans. Choice A, 2 red cans, is incorrect because it does not satisfy the total cans or total cost condition. Choices B and D are also incorrect as they do not fulfill both conditions simultaneously.

2. If a box of 55 syringes costs $660.00, what is the cost of four syringes?

A. $51.00
B. $26.00
C. $32.00
D. $48.00

Correct answer: D

Rationale: To find the cost of one syringe, divide the total cost by the number of syringes: $660.00 ÷ 55 = $12. Therefore, the cost of four syringes is 4 x $12 = $48. Choices A, B, and C are incorrect because they do not correctly calculate the cost per syringe or the total cost of four syringes.

3. How should 0.80 be written as a percent?

A. 40%
B. 125%
C. 90%
D. 80%

Correct answer: D

Rationale: To convert a decimal to a percent, move the decimal point two places to the right. Therefore, 0.80 written as a percent is 80%. Choice A is incorrect as it represents 40%. Choice B is incorrect as it represents 125%. Choice C is incorrect as it represents 90%.

4. Simplify the following expression: 4 * (2/3) ÷ 1 * (1/6)

A. 2
B. 3 1/3
C. 4
D. 4 1/2

Correct answer: C

Rationale: To simplify the expression, first convert the mixed numbers into fractions: 4 * (2/3) ÷ 1 * (1/6). This becomes 4 * 2/3 ÷ 1 * 1/6. Next, perform the multiplication and division from left to right: 8/3 ÷ 1 * 1/6 = 8/3 * 1 * 6 = 8/3 * 6 = 16. Therefore, the correct answer is 4. Choice A (2) is incorrect as it does not represent the final simplified expression. Choice B (3 1/3) is incorrect as it does not match the result of simplifying the expression. Choice D (4 1/2) is incorrect as it does not match the result of simplifying the expression.

5. If the population of a city increases by 5% annually, what will the population be next year if the current population is 1,000?

A. 1,050 people
B. 1,200 people
C. 1,100 people
D. 1,300 people

Correct answer: A

Rationale: To calculate the population increase, multiply the current population by 1 plus the percentage increase. So, 1,000 * 1.05 = 1,050 people. Therefore, the correct answer is A. Choice B (1,200 people) is incorrect because it represents a 20% increase from the current population, not 5%. Choice C (1,100 people) is incorrect as it reflects a 10% increase, not a 5% increase. Choice D (1,300 people) is incorrect, showing a 30% increase, which is not the scenario given.