A recipe calls for 5/7 cup of flour for every 2 3/5 cup of milk. To make a bigger batch, the chef uses 3 cups of flour. Which of the following would be the amount of milk needed for the bigger batch?
A. 12 1/5 cups
B. 12 2/5 cups
C. 8 9/25 cups
D. 10 23/25 cups
To find the required number of cups milk needed, we set a proportion equation with number of cups be numerator and cups of milk as denominator.
Let x be the number of cups of milk needed, then
The numbers of cups of milk required is 273/25, which when converted to mixed fraction becomes 10 23/25.
Therefore, the Correct Answer is D.
More Questions on TEAS 7 Math
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Q #1: Which of the following is the length of the unknown leg of a right triangle that has one leg length of 13 feet and a hypotenuse of 22 feet? (Round to the nearest tenth.)
A. 20 feet
B. 14.4 feet
C. 8.9 feet
D. 17.7 feet
Answer Explanation
Let the unknown length of the x. The resulting rectangle is shown below.
Then, we apply the Pythagoras theorem to find the value of x as:
The value of the unknown length is approximately 17.7 feet.
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Q #2: Which of the following is an appropriate unit of measure to express the length of a door?
A. Liters
B. Kilometers
C. Millimeters
D. Meters
Answer Explanation
The length of the door could be appropriately measured in meters. Kilometers are used to measure long distances while millimeters could be used to measure the length of very small objects. However, liters are used to measure the volume of liquids or objects.
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Q #3: -2/9, -0.9, -1.7, -4/7 Of the number listed above, which number is the greatest?
A. -0.9
B. -4/7
C. -1.7
D. -2/9
Answer Explanation
The initial step is to convert the decimal options to fractions. Then, we find the LCM of the denominators of all fractions, which will be used to compare the values of the given options.
-0. becomes -9/10
-1.7 becomes -17/10
Then, the resulting denominators are 9, 10, and 63. Their LCM of 630 is used to multiply each fraction.
-2/9*630=-140
-9/10*630=-567
-17/10*630=-1071
-4/7*630=-360
From the calculations above, -140 is the greatest value of all the values. Thus, -2/9 is the greatest number.
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Q #4: Which of the following is the decimal form of 58.7%?
A. 0.587
B. 5,870
C. 5.87
D. 587
Answer Explanation
percentages are fractions with denominator equal to 100. To get the decimal form of the percent given, e divide the value by 100.
The decimal form of 58.7% is 0.587.
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Q #5: Which of the following is the best estimate of the number of centimeters (cm) in 2 yards? (Note: 1 yard=3 feet; 1 foot =12 inches; 1 inch =2.54 cm)
A. 175 cm
B. 180 cm
C. 136 cm
D. 90 cm
Answer Explanation
we convert the given value in yards to the cm by setting up the equation below.
2 yards is equal to 182.88 cm, which is approximately 180 cm.
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Q #6: A recipe calls for 6 teaspoons of vanilla. 1 teaspoon equals approximately 4.93 mL. Which of the following is the correct amount of vanilla in mL?
A. 34.33 mL
B. 29.58 mL
C. 25.59 mL
D. 12.32 mL
Answer Explanation
To find the amount of vanilla in mL, we set up an equation in a way the unwanted units cancel out and leave the wanted unit we are looking for. Then,
Thus, a recipe of 6 teaspoons equals 29.58 mL.
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Q #7: A teacher has asked all the students in the class which days of the week they read after 9 pm. which of the following is the best way to display the percent of number of students for each day of the week?
A. Histogram
B. Pie graph
C. Scatter plot
D. Bar graph
Answer Explanation
A histogram depicts the frequency of a one variable over the other while a bar graph is used to compare two variables with vertical axis representing the heights. Therefore, a histogram will be used to represent percent of the number of students reading after 9.
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Q #8: A child has a bottle full of pennies, nickels, dimes, and quarters. There are six as many quarters as pennies, two times as many as nickels as pennies, and 5 times as many dimes as nickels. How many more dimes does the child have than nickels?
A. 4 times as many
B. 5 times as many
C. 20 times as many
D. 10 times as many
Answer Explanation
In this problem, we need to compare the number of dimes to quarters.
If we let p be number of pennies in the bottle. Then,
Number of quarters in the bottle = 6p
Number of nickels in the bottle = 2p
Number of dimes in the bottle =5(2p)=10p
Now relating dimes to nickels, we have
Thus, there are 5 times as many dimes as quarters in the box.
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Q #9: How many milliliters are there in 3.9 liters?
A. 390
B. 0.39
C. 3, 900
D. 39
Answer Explanation
we use the relation 1 L=1000 mL to convert 3.9 L to mL as follows.
Thus, 3.9 L is 3900 mL.
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Q #10: Which of the following is the value of x in the equation below
A. x= -4/3 or x=2
B. x= -1 or x=2
C. x =-2 or x= 1
D. x= -3/2 or x= 1/2
Answer Explanation
we find the value of x by applying the absolute conditions to the given equation.
First, add 2 to both sides of equation
Add 10 to both sides of the equation
Next, we apply the absolute rule:
If u=a
, a>0, then u=a or u=-aIn this case a=5, which is greater 0.
The first condition becomes
Solving for x
The second condition becomes
Solving for x
Then, the value of x is -4/3 or 2.
