A school is organizing a cookout where hotdogs will be served. The hotdogs come in small packs and large packs. Each small pack has 4 hotdogs and each large pack has 24 hotdogs. The school bought twice as many small packs as large packs, which altogether had 160 hotdogs. Determine the number of small packs purchased and the number of large packs purchased.

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Mathematics

13 January, 21:51

A school is organizing a cookout where hotdogs will be served. The hotdogs come in small packs and large packs. Each small pack has 4 hotdogs and each large pack has 24 hotdogs. The school bought twice as many small packs as large packs, which altogether had 160 hotdogs. Determine the number of small packs purchased and the number of large packs purchased.

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Answers (1)

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Jakob Morrow · Answer 1

10 small packs.

5 large packs.

Step-by-step explanation:

Let the number of small packs be 2x then the number of large packs would be x. So we have the equation:

4*2x + 24x = 160

32x = 160

x = 5 = the number of large packs.

The number of small packs is 2*5 = 10 packs.