stickmasterman745
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Someone please explain, it's most of my homework! I already did half the problem! Ellie bought 5 cups of apple juice and 7 sandwiches for $25.00. Jim bought 2 cups of apple juice and 3 sandwiches for $10.50. How much did each cup of apple juice cost? How much did each sandwich cost. I set up the equations 5a+7s=25 and 2a+3s=10.5. How do I solve them?

Respuesta :

jesusm1

Answer:

  1. 5 cups of apple juice and 7 sandwiches for a total of 25 bucks
  2. Jim bought 2 cups of apple juice and 3 sandwiches for $10.50
  3. Now we must form some sort of equation for the following:
  4. (1) 5a+7s=25
  5. (2) 2a +3s =10.5
  6. Let us isolate for one variable
  7. 3s= 10.5-2a
  8. s= 3.5 -2/3a
  9. Plug that into (1)
  10. 5a + 7 (3.5 -2/3a) = 25
  11. a=1.5
  12. Hence each apple juice cost 1.5
  13. Now we can plug that into (2) to solve for the sandwich cost
  14. s= 3.5- 2/3(1.5)
  15. s=2.5
  16. Rate positively and give brainlist

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