Question

A donut shop is experimenting with two new types of cream-filled treats, one with raspberry filling, and the other with peach. A batch of raspberry donuts cooks in 11 minutes while a batch of peach donuts cooks in only 8 minutes.

Let x represent the number of raspberry-filled donuts and let y represent the number of peach-filled donuts. Write an inequality to represent how many batches of the new type of donuts can be produced in a 10 hour day.

Answer 1

I turned hours into minutes (10hrs = 600mins)

11x < or = 600
8y < or = 600

or combine them:
11x + 8y < or = 600

Answer 2

The required inequality is
`11x + 8y \leq 600`

Explanation:

Given : A donut shop is experimenting with two new types of cream-filled treats, one with raspberry filling, and the other with peach.

A batch of raspberry donuts cooks in 11 minutes while a batch of peach donuts cooks in only 8 minutes.

Let x represent the number of raspberry-filled donuts and let y represent the number of peach-filled donuts.

To write : An inequality to represent how many batches of the new type of donuts can be produced in a 10 hour day.

Solution :

Time taken to cook the raspberry donuts =
`11x` minutes

Time taken to cook the peach donuts =
`8y` minutes

Donuts produced in 10 hours

1 hours = 60 minutes

10 hours = 60 × 10 = 600 minutes

Total time ≤ 600 minutes

Therefore, the required equation is

→
`11x + 8y \leq 600`