Noah works in a sporting goods store. He packs basketballs in shipping boxes to fill customers' orders. Noah packed 8 full boxes and 5 boxes that were not full. Each of the 5 boxes contained 3 fewer basketballs than a full box. The total number of basketballs he packed was 245. Which equation can be used to find n, the number of basketballs in a full box?

Question

Mathematics

Drew Brown

21 January, 01:17

Noah works in a sporting goods store. He packs basketballs in shipping boxes to fill customers' orders. Noah packed 8 full boxes and 5 boxes that were not full. Each of the 5 boxes contained 3 fewer basketballs than a full box. The total number of basketballs he packed was 245. Which equation can be used to find n, the number of basketballs in a full box?

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Answers (1)

Know the Answer?

Keagan Brady · Answer 1

20 basketballs in a full box

Step-by-step explanation:

Let n be a full box and n-3 be a box not full, so we know that there are 8 full boxes and 5 that are not and that Noah packed 245 basketballs in total, so we can write the following equation

8n+5 (n-3) = 245

8n+5n-15=245

13n-15=245

13n=245+15

13n=260

n=260/13

n=20

So in a full box are 20 basketballs and 17 in the near full box