A gumball machine contains red, orange, yellow, green, and blue gumballs. Twenty percent of the gum balls 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. 42
C. 36
D. 30
120*.35=42
120*.35 = 42 blue gumballs
120*.05 = 6 yellow gumballs
42-6=36
0.35 * 120 = ______ number of blue gumballs
36
36
42
20
To solve this problem, we need to find the number of blue gumballs and the number of yellow gumballs, and then subtract the two values to find the difference.
Step 1: Calculate the number of red gumballs.
Since 20% of the gumballs are red, we can find the number of red gumballs by multiplying the total number of gumballs by 0.2.
Red gumballs = 120 * 0.2 = 24 gumballs
Step 2: Calculate the number of orange gumballs.
Similarly, since 30% of the gumballs are orange, we can find the number of orange gumballs by multiplying the total number of gumballs by 0.3.
Orange gumballs = 120 * 0.3 = 36 gumballs
Step 3: Calculate the number of yellow gumballs.
Since 5% of the gumballs are yellow, we can find the number of yellow gumballs by multiplying the total number of gumballs by 0.05.
Yellow gumballs = 120 * 0.05 = 6 gumballs
Step 4: Calculate the number of green gumballs.
Since 10% of the gumballs are green, we can find the number of green gumballs by multiplying the total number of gumballs by 0.1.
Green gumballs = 120 * 0.1 = 12 gumballs
Step 5: Calculate the number of blue gumballs.
To find the number of blue gumballs, we subtract the sum of the other colors from the total number of gumballs.
Blue gumballs = 120 - (red gumballs + orange gumballs + yellow gumballs + green gumballs)
Blue gumballs = 120 - (24 + 36 + 6 + 12) = 120 - 78 = 42 gumballs
Step 6: Calculate the difference between blue and yellow gumballs.
The difference between blue and yellow gumballs can be found by subtracting the number of yellow gumballs from the number of blue gumballs.
Difference = Blue gumballs - Yellow gumballs
Difference = 42 - 6 = 36
Therefore, the answer is C. 36. There are 36 more blue gumballs than yellow gumballs.