Jasmin has 500 marbles in a bag. Among them, 20% of the blue marbles are green. Thirty percent of the marbles are yellow, and 50% of the marbles are green. Find the number of marbles of each color.
Answer (2)
There are 150 yellow marbles, 230 green marbles, and 100 blue marbles in Jasmin's bag. The calculation was based on percentages provided in the question. Adjustments were made for the green marbles counted among the blue ones.
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To find the number of marbles of each color, let's follow these steps:
Step 1: Determine 30% of the total marbles as yellow.
Jasmin has a total of 500 marbles in the bag. We are told that 30% of these marbles are yellow.
To find the number of yellow marbles:
0.30 × 500 = 150
So, there are 150 yellow marbles.
Step 2: Determine 50% of the total marbles as green.
Similarly, 50% of the marbles are green.
To find the number of green marbles:
0.50 × 500 = 250
So, there are 250 green marbles.
Step 3: Calculate the number of any other colors (blue in this case).
The remaining marbles that are not yellow or green are assumed to be another color, typically blue.
First, we find the total number of marbles that are either yellow or green:
150 + 250 = 400
Then subtract this from the total number of marbles:
500 − 400 = 100
So, there are 100 marbles that are blue. Note that the information about 20% of blue marbles being green is not needed for this calculation because we already know the exact count of each color from the given percentages.
Conclusion:
Yellow marbles: 150
Green marbles: 250
Blue marbles: 100
This accounts for all 500 marbles that Jasmin has.
