Question

An ice cream shop makes vanilla and chocolate ice cream the vanilla ice cream machine has a 180-cup capacity and sells 20 cups per day the chocolate ice cream machine has a 140-cup capacity and sells 16 cups per day right and solve an equation to solve when the two machines will have the same amount of ice cream left.

Answer 1

no write an equation

Answer 2

Let x be the number of days it takes for the two machines to have the same amount of ice cream left.

The vanilla ice cream machine starts with 180 cups and sells 20 cups per day, so the remaining amount of vanilla ice cream after x days is 180 - 20x.

The chocolate ice cream machine starts with 140 cups and sells 16 cups per day, so the remaining amount of chocolate ice cream after x days is 140 - 16x.

Setting these two amounts equal to each other gives:

180 - 20x = 140 - 16x

Solving for x, we get:

180 - 140 = 20x - 16x

40 = 4x

x = 10

Therefore, it will take 10 days for the vanilla and chocolate ice cream machines to have the same amount of ice cream left.

Answer 3

Let V be the amount of vanilla ice cream left after x days, and C be the amount of chocolate ice cream left after x days.

Since the vanilla ice cream machine starts with 180 cups and sells 20 cups per day, the equation for the amount of vanilla ice cream left after x days is:

V = 180 - 20x

Similarly, for the chocolate ice cream machine that starts with 140 cups and sells 16 cups per day, the equation for the amount of chocolate ice cream left after x days is:

C = 140 - 16x

To find when the two machines will have the same amount of ice cream left, set V equal to C and solve for x:

180 - 20x = 140 - 16x

Subtract 140 from both sides:

40 = 4x

Divide by 4:

x = 10

Therefore, the equation to solve for when the two machines will have the same amount of ice cream left is:

180 - 20x = 140 - 16x