trostgabby
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An animal shelter receives a shipment of items worth a total of $1890. Large bags of dog food are $8
each, pet blanket are $5 each, and dog toys are $4 each. There are 5 bags of dog food for each dog
toy and twice as many blankets as dog toys. How many of each item were shipped?

PLS HELP!!!

Respuesta :

mhanifa

Answer:

  • Food bags - 175, pet blankets - 70, dog toys - 35

Step-by-step explanation:

Given:

  • Dog food bags - f, cost of each $8,
  • Pet blanket - b, cost of each $5
  • Dog toy - t, cost of each $4
  • Total cost $1890

Equations:

  • 8f + 5b + 4t = 1890
  • f = 5t
  • b = 2t

Substitute values of b and t into first equation and solve for t:

  • 8(5t) +5(2t) + 4t = 1890
  • 40t + 10t + 4t = 1890
  • 54t = 1890
  • t = 1890/54
  • t = 35

Find the values of f and b:

  • f = 5*35 = 175
  • b = 2*35 = 70

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