Question

Annie has $18.00 to spend at the grocery store. She is going to buy bags of nuts that cost $5.70 each and one box of cookies that costs $4.25.

Write and solve an inequality that models this situation and could be used to determine the maximum number if bags of nuts, n, Annie can buy.
SHOW WORK PLEASE 10 POINTS.

Answer 1

no more than 2 (2 or less)

Explanation:

n= nuts

c=cookies

5.70*n + 4.25*1 < 18.00

5.7n <,= 13.75

Divide both sides by 5.7

n<,= 2.412280

She can only buy 2 bags of nuts( cannot buy a fraction of a bag) It is not enough to buy 3 bags

5.7*2=11.4 11.4+4.25=15.65

15.65<,= 18.00

Answer 2

`5.7n + 4.25 \leqslant 18`

Explanation:

The price of n nuts and bix of cookies that Annie buys must be less than or equal to $18.

`5.7n + 4.25 \leqslant 18 \\ 5.7n \leqslant 13.75 \\ n \leqslant 2.4122807018 \\ n \leqslant 2 \\`

N must be less than or equal to 2 because Annie cannot buy 2.4 bags of nuts and if she buys 3 bags of nuts she will not have enough money.