An english teacher is purchasing some markers and a poster board for students to write on. the markers cost $1.75 each. the poster board costs $6. the teacher has $24.20 to spend. write and solve and inequality to find the greatest number of markers she can purchase.

1.75m + 6 ≤ 24.20

In this equation, the variable 'm' represents the number of markers. Since the english teacher is only buying one poster board, there is no need to assign it to a variable.

Because the teacher can't spend more than $24.20, the price of the markers and the board must be less than or equal to (≤) 24.20

Now we solve for the equation.

Subtract both sides by 6 in order to isolate m.

1.75m ≤ 18.20

Divide both sides by 1.75:

m ≤ 10.4

Since you can't buy a fraction of a marker, we can round down.

m ≤ 10

The teacher can buy a maximum of 10 markers.

Good luck! If you have any questions, just ask :))

-T.B.

answer   download the app called socratic on your phoner:

step-by-step explanation:

8

step-by-step explanation:

to find the amount of gift bags to use all the supplies, find the gcf or greatest common factor. this is the largest number which multiplies evenly into each term.

48 has factors: 1, 2, 3, 4, 6, 8, 12. 16, 24, 48

80 has factors: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

64 has factors: 1, 2, 4, 8, 8, 16, 32, 64

the highest number factor they all share in common is 8. this means there will be 8 bags with 6 pencils, 10 markers, and 8 stickers in each bag.