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statuscvo [17]
2 years ago
8

Help please.......Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.

Mathematics
1 answer:
maxonik [38]2 years ago
4 0

<u>Answer:</u>

  • The cost of 1 dozen doughnut is $6 and the cost of a dozen croissant is $10.

<u>Step-by-step explanation:</u>

<u>We know that:</u>

  • D = Cost of a dozen doughnut
  • C = Cost of a dozen croissant
  • 10D + 7C = 130
  • 6D + 4C = 76

<u>Work:</u>

  • 10D + 7C = 130

        6D + 4C = 76

  • 4(10D + 7C = 130)

        7(6D + 4C = 76)

  • 40D + 28C = 520

        42D + 28C = 532

  • 40D - 42D = 520 - 532
  • => -2D = -12
  • => 2D = 12
  • => D = 6

<u>Now, let's substitute the value of D into the first equation.</u>

  • 10D + 7C = 130
  • => 10(6) + 7C = 130
  • => 60 + 7C = 130
  • => 7C = 70
  • => C = 10

Hence,<u> the cost of 1 dozen doughnut is $6 and the cost of a dozen croissant is $10.</u>

Hoped this helped.

BrainiacUser1357

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