Question

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

Answer 1

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

Explanation:

We know that:

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

Work:

• 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

Now, let's substitute the value of D into the first equation.

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

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

Hoped this helped.

`BrainiacUser1357`