Question

I'm not sure which way the inequality sign should face.

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 know it's something like:
11x + 8y (inequality sign) 600

Answer 2

coming wait a min.

Answer 3

okay

Answer 4

Is this the EXACT wording?

Answer 5

of the word problem?

Answer 6

how many batches of the new type of donuts can be produced in a 10 hour day.

i.e. in 600 minutes.

the time allowed for baking has to be less than or equal 600 minutes

you write < so the "small, pointy" end points at the smaller side, and the "big, fatter" side is next to the bigger number.

if it is less than or equal, put a line under the < to make it ≤ (think of the line as part of the equal sign)

Answer 7

the idea is each batch you bake takes some time.
you have time to bake 1 batch. But you don't have time to bake 10000 batches.
If you think about it, it is the number of batches that has to be less than some limit.
or in this case, the time to bake the batches has to be less than 600 minutes.

Answer 8

Oh I see. Thank you so much for your explanation. ^^