Question

I willll GIVE A BRAN....

Your class hopes to collect at least 400 cans of food for the annual food drive. There were 124 cans donated the first week and 121 more the second week. Write an inequality that describes this situation. Let represent the number of cans of food that must be collected by the end of the third week for your class to meet or surpass your goal. How many cans are needed to meet or surpass your goal?


a. 124 + 121 + > 400; > 155

b. 124 + 121 + 400 ≥ ; ≥ 645

c. 124 + 121 + ≥ 400; ≥ 155

d. 124 + 121 + ≥ 400; ≥ 645 show your work


i will mark a brain.....

Answer 1

Answer: Choice C

The first inequality is
`124+121+x \ge 400`

The second inequality is
`x \ge 155`

Replace x with whatever letter your teacher is using

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Let x be the number of cans collected on week 3

Add this to the previous totals (for weeks 1 and 2) to get 124 + 121 + x. I'm going to leave this as is and not simplify. This is so the answer matches up. This total must be greater than or equal to 400, meaning 124+121+x can be 400 or larger.

124+121+x >= 400

245+x >= 400 .... combine like terms

x >= 400-245 .... subtract 245 from both sides

x >= 155

So you need to collect at least 155 cans for the third week so that you'll have at least 400 cans total.