Two friends get frozen yoghurt. The ratio of yoghurt to toppings is 4:3. If one of the friends has 4.5 oz of toppings in their bowl, which of the following is the amount of yoghurt in their desert?
A. 6 oz
B. 5.5 oz
C. 3 oz
D. 3.5 oz
Yoghurt: toppings=4:3
Yoghurt: 4.5 oz =4:3
We convert the given ratio into a proportion equation as below
Multiply both sides by 4.5 oz
Therefore, the Correct Answer is A.
More Questions on TEAS 7 Math
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Q #1: Which of the following measurements is the approximate metric equivalent of 7 inches?
A. 3.2 cm
B. 2.8 cm
C. 15.4 cm
D. 17.8 cm
Answer Explanation
Use the relation 1 inch=2.54 cm to change 7 inches to cm
Thus, 7 inches is about 17.8 cm.
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Q #2: The force applied is directly proportional to the stretch of a coil. If a force of 132 Newtons stretches a coil 0.07 meters, what force would be needed to stretch a coil 0.1 meter? Round your answer to the nearest tenth.
A. 92.4 Newtons
B. 1885.7 Newtons
C. 188.6 Newtons
D. 136.0 Newtons
Answer Explanation
In direct proportion relation, we utilize the relationship as:
Variable∝
Variable 2Thus from the given case,
Force∝
stretchWe introduce a constant term, K to remove the sign of proportionality as
Force=K* stretch
Let’s find the value of K, using Force=132 N and stretch of 0.07 m
132 N=K*0.07 m
K=132 N/0.07 m=1885.7 N/m
Now substitute this value of K in the following equation
Force=1885.7 N/m * stretch
For a stretch of 0.1 m, the force needed is
Force=1885.7 N/m * 0.1 m=188.57 N=188.6 N
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Q #3: A soccer field is rectangular in shape and is 100 meters long and 75 meters wide. The hectare is a metric unit of are often used to measure larger areas. Given that 1 hectare = 10000 meters2, which of the following represents the soccer field’s are in hectares?
A. 0.75 hectares
B. 7.5 hectares
C. 7,500 hectares
D. 75,000,000 hectares
Answer Explanation
The dimension of the field is shown below.
Area of rectangle = length * width
Area of rectangle = 100 m *75 m = 7500 m2
Area of the rectangle in hectares =
