You work at a frozen yogurt shap during the summer. You need to order 5-ounce and 8-ounce cups. The storage room will only hold 10 more boxes. A box of 5-ounce cups costs $100 and a box of 8-ounce cups costs $150, A maximum of $1200 is budgeted for yogurt cups. A. Write a system of linear inequalities that shows the number of boxes of 5-ounce and 8- ounce cups that could be bought. B. Graph the system. C. Name a combination of 5- and 8-ounces boxes of cups that could be bought.

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9136429635 9136429635 · Answer 1 · 2020-11-19T18:16:06+01:00

Answer: 100f + 150e = 1250

Step-by-step explanation:

Subtract the 1st from the 2nd to solve for e:

50e = 250

e = 5 boxes (# of boxes of eight-once cups)

f + e = 10, so f = 5 boxes: (# of boxes of five-once cups)

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raphealnwobi raphealnwobi · Answer 2 · 2021-12-09T10:33:20+01:00

6 boxes of 5-ounce cups and 4 boxes of 8-ounce cups could be bought.

Let x represent the number of box of 5-ounce cups and y represent the number of box of 8 ounce cups.

The room can only hold 10 more boxes, hence:

x + y ≤ 10 (1)

A maximum of $1200 is budgeted for yogurt cups. Hence:

100x + 150y ≤ 1200 (2)

Plotting the graph of the inequality, the solution is at (6, 4)

Therefore 6 boxes of 5-ounce cups and 4 boxes of 8-ounce cups could be bought.

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