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Express the ratio of 13:60 as a percentage.
- A. 19.50%
- B. 21.67%
- C. 25.50%
- D. 31%
Correct Answer: B
Rationale: To express the ratio 13:60 as a percentage, calculate the decimal form of the ratio by dividing 13 by 60: 13/60 ≈ 0.2167. Next, convert this decimal to a percentage by multiplying by 100: 0.2167 x 100 = 21.67%. Choice A, 19.50%, is incorrect as it does not accurately represent the ratio. Choice C, 25.50%, and Choice D, 31%, are also incorrect calculations of the percentage equivalent of the ratio 13:60.
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What would be the total cost to buy 5 bars of soap if one bar of soap costs $0.96?
- A. $3.30
- B. $3.80
- C. $4.30
- D. $4.80
Correct Answer: D
Rationale: To find the total cost of purchasing 5 bars of soap, multiply the cost of one bar of soap by the number of bars. If one bar costs $0.96, then 5 bars would cost $0.96 x 5 = $4.80. Therefore, the correct answer is $4.80. Option A, $3.30, is incorrect as it does not result from the correct multiplication. Option B, $3.80, is also incorrect as it does not reflect the total cost of 5 bars. Option C, $4.30, is incorrect as it does not represent the accurate total cost of purchasing 5 bars of soap.
If a party planner assumes 2 bottles of sparkling water per 5 guests, how many bottles must she purchase for a party of 145 guests?
- A. 27
- B. 36
- C. 49
- D. 58
Correct Answer: D
Rationale: If the party planner assumes 2 bottles of sparkling water per 5 guests, for a party of 145 guests, she would need ((2/5) x 145) bottles of sparkling water. This calculation results in 58 bottles. Therefore, she must purchase 58 bottles for the party of 145 guests. Choices A, B, and C are incorrect as they do not reflect the correct calculation based on the given assumption.
After putting â…“ aside for her share of rent and utilities and spending $75 on groceries, what is left from her weekly paycheck?
- A. $150
- B. $214.86
- C. $204.26
- D. $192.76
Correct Answer: A
Rationale: If she puts aside 1/3 of her paycheck for rent and utilities, this means she spends 3 portions in total. So, 1 portion represents 1/3 of the paycheck. Since she spends $75 on groceries, it leaves 2 portions. The total amount of 3 portions is the paycheck. To find out one portion, divide the total paycheck by 3: Paycheck = 3 portions. $75 is one portion. Multiply the one portion by 3 to find the total paycheck: $75 * 3 = $225. Subtract the spent amount from the weekly paycheck: $225 - $75 = $150. Therefore, the amount left from her weekly paycheck is $150. The other choices are incorrect because they do not follow the correct calculation based on the given information.
What is 35% of 70?
- A. 17.5
- B. 24.5
- C. 35
- D. 50
Correct Answer: B
Rationale: To find 35% of a number, you multiply the number by 0.35. In this case, 35% of 70 is calculated as 70 x 0.35 = 24.5. Choice A (17.5) is incorrect because it represents 25% of 70. Choice C (35) is incorrect as it is the percentage itself, not the result of the calculation. Choice D (50) is incorrect as it does not represent the result of finding 35% of 70.
Gus is making a chili recipe that calls for three parts beans to five parts ground beef. If he is using 8 cups of ground beef for a big family dinner, how many cups of beans will Gus need?
- A. 3.6 cups
- B. 4 cups
- C. 4.6 cups
- D. 4.8 cups
Correct Answer: B
Rationale: For every 3 parts of beans, Gus needs 5 parts of ground beef. This means the ratio of beans to beef is 3:5. If Gus is using 8 cups of ground beef, the total parts would be 3 parts beans to 5 parts beef, which is a total of 8 parts. To find out how many cups of beans Gus needs, we can set up a proportion: 3/5 = x/8. Cross multiplying gives us 5x = 24. Solving for x, we get x = 4. Therefore, Gus will need 4 cups of beans. Choice A, C, and D are incorrect as they do not align with the correct proportion calculation.