A macaroni and cheese recipe calls for 1/4 cup of flour for every 1 1/6 cup of milk. To make a bigger batch, the chef uses 5 cups of flour. Which of the following would be the amount of milk needed for the bigger batch?
A. 21 3/5 cups
B. 20 1/3cups
C. 23 4/9 cups
D. 23 1/3 cups
notice that the question compares the cup of flour and the cup of milk. We can therefore set up our ratios as cup of floorcup of milk
. If we let the x be the number of cups of milk needed, then
As a mixed fraction, 70/3 becomes 23 1/3, which represents the number of cups of milk needed to make a big batch of 5 cups.
Therefore, the Correct Answer is D.
More Questions on TEAS 7 Math
-
Q #1: How many milliliters are there in 0.65 liters?
A. 650
B. 6.5
C. 6500
D. 65
Answer Explanation
we use the relation 1 L=1000 mL and organize our equation in such a way that L cancels as:
Thus, 0.65 L is 650 mL.
-
Q #2: Simplify the expression above. Which of the following is correct?
A. 6
B. 18
C. 9
D. 22
Answer Explanation
To simplify this expression, we follow the order of operations as follows:
First, we start with the numerator and solve it as follows
[2(6+3*9)]
We start with multiplication in inner brackets, 3 * 9 = 27. The expression becomes
[2(6+27)]
Then, we carry out the addition of 6+27=33. Then, the expression yields
[2(33)]=2*33=66
Now, we solve for denominator, which is 6/2=3.
Thus, the expression is reduced into
The expression reduces into 22.
-
Q #3: Solve for z in the equation above.
A. z=rwy+x
B. z=rw+(y/x)
C. z=y(x+rw)
D. z=rw-(y/x)
Answer Explanation
We are asked to make z the subject of the formula.
First, we subtract y/x from both sides of the equation
Thus, the formula for finding the value of z is
. -
Q #4: Which of the following values is the greatest?
A. 25/2
B. 12.35
C. 40/3
D. 11.46
Answer Explanation
To find the greatest number from the given set, we first convert the decimal numbers into fractions.
12.35 becomes 1235/100
11.46 becomes 1146/10
Then, the LCM for the denominators of the given fractions of 2, 100, 3 and 10 is 300. Now we multiply each fraction with 300, which we will use to compare the give set.
25/2*300=3750
1235/100*300=3705
40/3*300=4000
1146/10*300=3438
From the calculated values, 4000 is the greatest value. Then, 40/3 is the greatest value.
-
Q #5: Which of the following is the mean of the test scores listed below? 99, 93, 67, 48, 92, 87
A. 67
B. 48
C. 99
D. 81
Answer Explanation
the mean of a data set is the sum of the scores divided by the number of tests.
Total test scores =99+93+67+ 48+ 92+ 87=486
Number of tests =6
Mean test score =486/6=81
The mean test score is 81.
-
Q #6: A bag contains six green balls, three red balls, and five yellow balls. If one ball is randomly selected from the ball, which of the following is the probability that the ball is red?
A. ½
B. 5/14
C. 3/7
D. 3/14
Answer Explanation
To find the probability of an event, we use the following the formula
To find the probability of drawing the red ball, we need to find the total number of balls in the bag.
Total number of balls in the bag=6+3+5=14 balls
The probability of drawing a red ball from the bag is 3/14.
-
Q #7: The length of a rectangular room is 2 feet greater than its width. Which of the following equations represents the area (A) of the room?
A. A = 2x
B. A = 2x+2(x+2)
C. A = x+(x+2)
D. A = x(x+2)
Answer Explanation
we are asked to find the area of a rectangle, which can only be found by finding the relation between length and width. Now, letting x represent the width, then
Length of rectangle=(x+2)
Width of the rectangle= x
Area of the rectangle, A= Length*width=(x+2)*x
A=x(x+2)
Therefore, the area of the rectangle becomes x(x+2).
-
Q #8: Soft Drinks Shop Orange: Two 24-packs for $15; one 24-pack for $9 Root Beer: One 24-pack for $14 Cream Soda: One 12-pack for $5 A consumer needs to purchase at least 60 soft drinks for a picnic. Which of the following combinations is the most cost-effective?
A. 2 pack of Orange and 2 packs of Cream Soda
B. 3 packs of Root Beer
C. 1 pack of orange, 2 packs of Root Beer and 1 pack of Cream Soda
D. 4 packs of cream Soda
Answer Explanation
Choice A: 2 packs of Orange and 2 packs of Cream Soda
- Total drinks: 48 + 24 = 72 drinks
- Total cost: (2 * $15) + (2 * $5) = $30 + $10 = $40
- This choice not only meets the requirement of at least 60 drinks but also offers the best value in terms of cost per drink, making it the most cost-effective option.
Choice B: 3 packs of Root Beer
- Total drinks: 3 * 24 = 72 drinks
- Total cost: 3 * $14 = $42
- While this choice meets the requirement of at least 60 drinks, it's not the most cost-effective, as it costs $42 for 72 drinks.
Choice C: 1 pack of Orange, 2 packs of Root Beer, and 1 pack of Cream Soda
- Total drinks: 24 + 48 + 12 = 84 drinks
- Total cost: $9 + (2 * $14) + $5 = $9 + $28 + $5 = $42
- This choice provides more than 60 drinks, but it's not the most cost-effective due to its higher cost of $42, same as choice B.
Choice D: 4 packs of Cream Soda
- Total drinks: 4 * 12 = 48 drinks
- Total cost: 4 * $5 = $20
- While this choice is the most cost effective, it falls short of providing the desired number of drinks.
-
Q #9: Which of the following is the length of the unknown leg of a right triangle that has one leg length of 10 feet and a hypotenuse of 14 feet? (Round to the nearest tenth.)
A. 6 feet
B. 15.6 feet
C. 9.8 feet
D. 20 feet
Answer Explanation
The sides of a right-angled triangle are determined by the Pythagoras theorem. If we let the unknown side to x as in the figure below, then theory is applied as follows.
The value of x is found as:
The value of the unknown leg side of a triangle is about 9.8 feet.
-
Q #10: A macaroni and cheese recipe calls for 1/4 cup of flour for every 1 1/6 cup of milk. To make a bigger batch, the chef uses 5 cups of flour. Which of the following would be the amount of milk needed for the bigger batch?
A. 21 3/5 cups
B. 20 1/3cups
C. 23 4/9 cups
D. 23 1/3 cups
Answer Explanation
notice that the question compares the cup of flour and the cup of milk. We can therefore set up our ratios as cup of floorcup of milk
. If we let the x be the number of cups of milk needed, thenAs a mixed fraction, 70/3 becomes 23 1/3, which represents the number of cups of milk needed to make a big batch of 5 cups.
