the ratio of red and green peppers in a ttuck is 3:4 . if the truck contains 120 green peppers ,how many red peppers are there?
r = red peppers
g = green peppers
The ratio of red and green peppers in a truck is 3:4 means:
r / g = 3 / 4
The truck contains 120 green peppers means:
g = 120
Put this value in ratio:
r / g = 3 / 4
r / 120 = 3 / 4
Multiply both sides by 120
r = 120 ∙ 3 / 4 = 360 / 4 = 90
90 red peppers
Proof:
r / g = 90 / 120 = 30 ∙ 3 / 30 ∙ 4 = 3 / 4
3:4 = 90:120
To find out the number of red peppers in the truck, we first need to determine the value of the ratio. In this case, the ratio of red to green peppers is given as 3:4.
Step 1: Add the values of the ratio:
3 + 4 = 7
Step 2: Divide the total quantity of green peppers by the denominator of the ratio to find the value of one part:
120 ÷ 4 = 30
Step 3: Multiply the value of one part by the numerator of the ratio to find the number of red peppers:
30 x 3 = 90
Therefore, there are 90 red peppers in the truck.
To find the number of red peppers, we first need to determine the ratio between red and green peppers. Given that the ratio of red to green peppers is 3:4, we can set up the equation:
3/4 = x/120
To solve for x, we can cross-multiply:
4x = 3 * 120
Simplifying the equation, we have:
4x = 360
Divide both sides by 4:
x = 360 / 4
x = 90
Therefore, there are 90 red peppers.