a store offers a 15 discount on all items if an item costs 100 what is the price after the discount
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ATI TEAS 7

TEAS Math Questions

1. A store offers a 15% discount on all items. If an item costs $100, what is the price after the discount?

Correct answer: B

Rationale: To calculate the price after the 15% discount on a $100 item, you first find 15% of $100, which is $15. Then, subtract $15 from the original price: $100 - $15 = $85. Therefore, the correct answer is $85. Choice A ($90), Choice C ($80), and Choice D ($75) are incorrect as they do not reflect the correct calculation of applying a 15% discount to the original $100 price.

2. The owner of a newspaper has noticed that print subscriptions have gone down 40% while online subscriptions have gone up 60%. Print subscriptions once accounted for 70% of the newspaper’s business, and online subscriptions accounted for 25%. What is the overall percentage growth or decline in business?

Correct answer: A

Rationale: To calculate the decline in business, start with the 40% decline in the 70% share of print subscriptions: 40% of 70% = 0.40 × 0.70 = 0.28 = 28% decline. Next, calculate the growth from the 60% increase in the 25% share of online subscriptions: 60% of 25% = 0.60 × 0.25 = 0.15 = 15% growth. To find the overall change, sum the decline and growth percentages: 28% decline + 15% growth = -0.28 + 0.15 = -0.13 = 13% decline. Therefore, the overall percentage change in the newspaper's business is a 13% decline. Option A is the correct answer. Option B is incorrect because it doesn't consider the correct calculations for both the decline and growth. Option C is incorrect as it misinterprets the net change in business. Option D is incorrect as it miscalculates the overall percentage growth or decline.

3. Robert scores three new clients every eight months. After how many months has he secured 24 new clients?

Correct answer: A

Rationale: To find out the number of months needed to secure 24 new clients, you can set up a proportion: 3 clients / 8 months = 24 clients / x months. Cross multiplying gives you 3x = 24 * 8. Solving for x: 3x = 192, x = 192 / 3, x = 64. Therefore, Robert will secure 24 new clients after 64 months. Choice A is correct. Choice B (58), Choice C (52), and Choice D (66) are incorrect as they do not align with the correct calculation based on the given proportion.

4. Susan bought a dress for $69.99, shoes for $39.99, and accessories for $34.67. What was the total cost of her outfit?

Correct answer: B

Rationale: To find the total cost of Susan's outfit, you need to add the prices of the dress, shoes, and accessories together. $69.99 + $39.99 + $34.67 = $144.65. Therefore, the correct total cost of her outfit is $144.65. Choice A ($139.65) is incorrect as it does not account for the full cost of all items. Choice C ($145.55) is incorrect as it includes an extra amount not part of the given prices. Choice D ($144.65) is incorrect due to a duplication of the correct answer.

5. What is the overall median of Dwayne's current scores: 78, 92, 83, 97?

Correct answer: B

Rationale: To find the median of a set of numbers, first arrange the scores in ascending order: 78, 83, 92, 97. Since there is an even number of scores, we find the median by taking the average of the two middle values. In this case, the middle values are 83 and 92. Calculating (83 + 92) / 2 = 85, we determine that the overall median of Dwayne's scores is 85. Choice A (19) is incorrect as it does not correspond to any value in the given set of scores. Choice C (83) is the median of the original set but not the overall median once arranged. Choice D (87.5) is the average of all scores but not the median.

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