1. A baker is using a cookie recipe that calls for 2 ? cups of flour to yield 36 cookies. How much flour will the baker need to make 90 cookies using the same recipe?
A. 5 ? cups
B. 6 ? cups Correct
C. 4 ? cups
D. 10 ? cups
Explanation
To find the amount of flour needed for 90 cookies, first calculate the flour per cookie: (2 ? cups / 36 cookies) = (8/36) = (2/9) cups per cookie. Then multiply by 90: (2/9) X 90 = 20 cups.
2. Translate the phrase 'Five less than twice the number' into a mathematical expression.
A. 5x-2
B. 2x-5 Correct
C. 2-5x
D. 5-2x
Explanation
To translate 'Five less than twice the number' into a mathematical expression, you first calculate twice the number (2x) and then subtract 5 from it. This gives you 2x-5. Therefore, choice B, 2x-5, accurately represents the mathematical expression for 'Five less than twice the number.' The phrase 'Five less than' implies subtraction, and 'twice the number' is represented by 2x. Thus, when you subtract 5 from twice the number, the correct expression is 2x-5.
3. A couple dining at a restaurant receives a bill for $38.40. They wish to leave a 15% gratuity. What is the estimated gratuity amount?
A. $6.00 Correct
B. $5.00
C. $4.00
D. $7.00
Explanation
To calculate the 15% gratuity on a $38.40 bill, you multiply the bill amount by 0.15 (15%): $38.40 x 0.15 = $5.76. Since gratuity amounts are typically rounded up, the estimated gratuity would be $6.00, making choice A the correct answer. In this case, rounding up to the nearest whole dollar is common practice in gratuity calculations to simplify tipping and ensure a fair amount for the service provided.
4. After spending 80% of her $60, Lana is left with how much money when she invests the remaining amount and earns an 80% profit?
A. $21.60 Correct
B. $9.60
C. $86.40
D. $60.00
Explanation
After spending 80% of $60, Lana spends $48, leaving her with $12. When she invests this remaining amount and earns an 80% profit on $12, it amounts to $21.60 ($12 + 80% of $12 = $12 + $9.60 = $21.60). Therefore, Lana now has $21.60 in total.
5. Which of the following percentages is equivalent to the fraction 5/8?
A. 160%
B. 65.25%
C. 62.50% Correct
D. 1.60%
Explanation
To convert a fraction to a percentage, divide the numerator by the denominator and then multiply by 100. For the fraction 5/8, it equals 0.625 when divided, which when multiplied by 100 results in 62.50%. Therefore, choice C, 62.50%, is the correct percentage equivalent to the fraction 5/8.