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Scouting Troops in Morgan Country are putting on a crab feed to raise money for camp. They offer a complete crab dinner as well as a vegetraian option. One Troop member sold tickets for 12 crab meals and 23 vegetarian meals, with total receipts of $916. Another sold tickets for 12 crab meals and 12 vegetarian meals, bringing in a total of $696. How Much do the 2 types of tickets costs?

Respuesta :

adioabiola

Answer:

cost of crab meals = $20

cost of vegetarian meals = $38

Step-by-step explanation:

Let

x = cost of crab meals

y = cost of vegetarian meals

Troop A

12 crab meals and 23 vegetarian meals, with total receipts of $916.

12x + 23y = 916

Troop B

12 crab meals and 12 vegetarian meals, bringing in a total of $696

12x + 12y = 696

12x + 23y = 916 (1)

12x + 12y = 696 (2)

Subtract (2) from (1)

23y - 12y = 916 - 696

11y = 220

y = 220/11

= 20

y = 20

Substitute y = 20 into (1)

12x + 23y = 916

12x + 23(20) = 916

12x + 460 = 916

12x = 916 - 460

12x = 456

x = 456/12

= 38

x = 38

cost of crab meals = $20

cost of vegetarian meals = $38

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