An ice cream shop makes vanilla and chocolate ice cream. The vanilla ice cream machine has a 180-cup capacity, and it sells 20 cups per day. The chocolate ice cream machine has a 140-cup capacity, and it sells 16 cups per day. Write and solve an equation to show when the two machines will have the same amount of ice cream left.(1 point)
Responses
180−20x=140−16x ; x=10
180 minus 20 x equals 140 minus 16 x ; x equals 10
180+16x=140+20x ; x=−10
180 plus 16 x equals 140 plus 20 x ; x equals negative 10
140+16x=180+20x ; x=10
140 plus 16 x equals 180 plus 20 x ; x equals 10
180−20x=140−16x ; x=20
The correct equation is:
180 - 20x = 140 - 16x
To solve for x, we need to combine like terms and isolate the variable:
180 + 16x - 140 = 140 - 16x + 16x
40 + 16x = 180
Subtract 40 from both sides:
40 + 16x - 40 = 180 - 40
16x = 140
Divide both sides by 16:
16x/16 = 140/16
x = 8.75
So, the two machines will have the same amount of ice cream left after 8.75 days.