how do you solve 140 s + 120 p = 1540 if your trying to figure out how many cups of juice there is for strawberry and pineapple if it has 120 calories & the strawberry one only has 140 ?
To solve the equation 140s + 120p = 1540, where s represents the number of cups of strawberry juice and p represents the number of cups of pineapple juice, you need to set up a system of equations based on the information about the calorie content.
Given that the total number of cups of juice is 1540, you have the equation:
s + p = 1540 ...(Equation 1)
Given that strawberry juice has 140 calories and pineapple juice has 120 calories, the equation for the total number of calories can be set up as:
140s + 120p = 120 * 1540 ...(Equation 2)
To solve this system of equations, you can use substitution or elimination method.
Let's use the substitution method:
From Equation 1, we have p = 1540 - s
Substituting p in Equation 2, we get:
140s + 120(1540 - s) = 120 * 1540
Simplifying the equation:
140s + 184800 - 120s = 184800
Consolidating like terms:
20s = 184800 - 184800
20s = 0
Dividing by 20 on both sides:
s = 0
Now, substituting the value of s in Equation 1:
0 + p = 1540
p = 1540
Therefore, there are 0 cups of strawberry juice and 1540 cups of pineapple juice.