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Viktor [21]
3 years ago
12

13) 3 bags of Brand X dog food and 4 bags of Brand Y dog food costs $18,

Mathematics
1 answer:
GuDViN [60]3 years ago
4 0

Answer:

the cost of brand x dog food is $2

Step-by-step explanation:

Let brand X dog food be represented as A

Let Brand Y dog food be represented as B

3 bags of Brand X dog food and 4 bags of Brand Y dog food costs $18,

3A+4B=18

4 bags of Brand X dog food and 3 bags of Brand Y dog food costs

$17.

4A+3B= 17

  • 3A+4B=18
  • 4A+3B= 17

Using Elimination method

Multiply

  • 3A+4B=18 by coefficient of B in equ ii (3)  = 9A+12B=54
  • 4A+3B= 17 by coefficient of B in equ i (4)  = 16A+12B=68
  • subtract equation i from equation ii, since sign is the same in both equations
  • 9A+12B-(16A+12B)= 54-68
  • open bracket
  • 9A+12B-16A-12B= 54-68= -14
  • 9A-16A+12B-12B= -14
  • -7A= -14
  • divide both sides by -7

A = -14/-7= 2

Since the brand X dog food is represented as A

the cost of brand x dog food is $2

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