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A gumball machine contains red, orange, yellow, green, and blue gumballs. Twenty percent of the gumballs are red, 30% are orange, 5% are yellow, 10% are green, and the rest are blue. If there are a total of 120 gumballs, how many more blue gumballs are there than yellow gumballs?

A. 48

B. 30

C. 42

D. 36

Answer Explanation:

Determine the number of blue and yellow gumballs as follows:

Percent of blue gumballs=100%-(20%+30%+5%+10%) =100%-65%=35%

Number of blue gumballs35% of 120=0.55*120 = 42 blue gumballs [35%=35/100=0.35]

Number of yellow gumballs=5% of 120=0.05*120 = 6 yellow gumballs [5%=5/100=0.05]

Difference between the number of blue and yellow gumballs=42-6= 36 balls

Therefore, there are 36 more blue gumballs than yellow gumballs.

Therefore, the Correct Answer is D.

Q #1: The length of a rectangle is 3 units greater than its width. Which expression would correctly represent the perimeter of the rectangle?

A. 2W+2[W+3]

B. W+W+3

C. W[W+3]

D. 2W+2[3W]

Answer Explanation

Let width of the rectangle be W. We are told that length, L is 3 units greater than width. Then,

L=W+3

And perimeter of the rectangle is given by the relation, P=2(L+W]=2L+2W

In place of L substitute W+3. Thus,

P=2[W+3]+2W
Q #2: What is the least common denominator for the fractions below? (Round the answer to the nearest integer) 1/2, 2/3, 4/5

A. 30

B. 25

C. 7

D. 19

Answer Explanation

We determine least common denominator (LCD) using prime factorization of denominators as follows

2=1*2

3=1*3

5=1*5

Thus, LCD of 2, 3, 5 = 2*3*5=30
Q #3: Which of the following is the correct simplification of the expression below? 12 ÷ 3 * 4 - 1 + 23

A. 6

B. 21

C. 38

D. 23

Answer Explanation

Use the order of operations to solve the given equation. The acronym PEDMAS will help us to solve the given problem.

P- Parenthesis

E-Exponents

D-Divide

M-Multiply

A-Add

S-Subtract

From the given equation start with solving :-

12 ÷3 * 4 - 1 + 23

Next, carry out division 12÷3=4

4*4-1+23

Multiply is 4*4=16

16-1+23

Add or subtract can be conducted in any order. From left to right, we subtract followed by addition

Subtract 16-1=15

15+23

The last step is to add 15+23

15+23=38

Thus, the answer to the given equation is 38.

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