To make things easier, pretend she has 100 marbles and halve everything except for the percentages (everything will be doubled later).
If 22% of her marbles are navy, then 22 marbles are navy.
If 40 (half of 80) her marbles are royal blue, then 40% of her marbles are royal blue.
If 38% are baby blue, she has 38 baby blue marbles.
How many cobalt blue marbles does she have? Well, 22+40+38=100
Since we added the percentages, the ratio would be the same whether she has 100 or 200 marbles.
Since the percentages of navy, royal blue, and baby blue added up to 100%, she has no cobalt blue marbles.
Y=2x+2
Explanation:
The y-intercept is 2 because that’s where the line touches the y-axis,and the slope is 2 because when using rise over run 2/1=2
Each junior receives 93 score on the test. It is also the average score of the juniors.
Given Information
It is given that 10% of the strength of the class consists of juniors and 90% consists of seniors.
Let us assume the total strength of the class is 100, then,
Number of seniors = 90
Number of juniors = 10
It is also given that the average score of the class = 84
And, average score of the seniors = 83
Another given information is that all the juniors all received the same score, which is their average score. Let it be x.
Average Score of Juniors
Total marks obtained by the seniors = Number of seniors × Average score of seniors
= 90 × 83
= 7470
Total marks obtained by the juniors = Number of juniors × Average score of juniors
= 10x
Average marks on the test = Total marks / Total number of students
⇒ 84 = (7470 + 10x)/100
⇒ 84 × 100 = 7470 + 10x
⇒ 10x + 7470 = 8400
⇒ 10x = 8400-7470
⇒ 10x = 930
⇒ x = 930/10
⇒ x = 93
Thus, each junior scores 93 on the test.
Learn more about average here:
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Answer: 18
Step-by-step explanation: 6 x 3 = 18, 18 x 1 = 18