If there are 720 oranges, how many mangoes will be there? (In a pie chart there are 150° of mangoes, 120° of oranges and apple)
To calculate the number of mangoes, we need to know the proportion of oranges and mangoes in the overall fruit selection.
In a pie chart, each slice represents a proportional part of the whole. Therefore, if 120° (one-third of the chart) represents 720 oranges, then the whole chart represents:
720 / (120/360) = 2160 fruits
To find the number of mangoes, we need to calculate what fraction of the chart represents mangoes:
150° / 360° = 5/12
So the number of mangoes would be:
2160 * (5/12) = 900 mangoes.
If 3M + R = 60, Find M when R = 0
If 3M + R = 60 and R=0, we can substitute R with 0 in the equation to get:
3M + 0 = 60
Simplifying the equation, we get:
3M = 60
Dividing both sides by 3, we get:
M = 20
Therefore, when R=0, M is equal to 20.
To find out how many mangoes there are, we need to compare the proportion of mangoes in the pie chart to the proportion of oranges.
Given that mangoes make up 150° out of a total of 360° (the full circle of the pie chart), we can calculate the proportion of mangoes using the following formula:
Proportion of mangoes = Mangoes degrees / Total degrees
Proportion of mangoes = 150° / 360°
Proportion of mangoes = 5/12
Since there are 720 oranges, we can set up the following proportion:
Proportion of mangoes / Proportion of oranges = Total mangoes / Total oranges
5/12 / Proportion of oranges = Total mangoes / 720
Since the proportion of oranges in the pie chart is 120° out of 360°, we can calculate the proportion of oranges:
Proportion of oranges = Oranges degrees / Total degrees
Proportion of oranges = 120° / 360°
Proportion of oranges = 1/3
Substituting the values into the proportion equation:
5/12 / 1/3 = Total mangoes / 720
To solve for the total number of mangoes, we can cross-multiply:
Total mangoes = (5/12) * (720 / 1/3)
Total mangoes = (5/12) * (720 * 3)
Total mangoes = (5/12) * 2160
Total mangoes = 900
Therefore, there will be 900 mangoes.