A teacher spends $354 on costumes and microphones for six cast members in a play. Each cast member receives a costume that costs $38 and a microphone that costs $c What did the teacher spend on each microphone? The teacher spent $ ___on each microphone. Question 2 Justify your answer.

Respuesta :

The teacher spend some amount on buying costumes and microphones for 6 cast members.

GiveN:

  • Cost of each costume = $38
  • Cost of each microphone = $c
  • Total money spent = $354

Let's frame the equation. Total money is the total amount spent for 6 cast members.

Money spent on costumes = $38 × 6

Money spent on microphone = $c × 6

Equation:

[tex]6 \times 38 + 6 \times c = 354[/tex]

Taking 6 as common,

[tex]6(38 + c) = 354[/tex]

Dividing 6 from both sides,

[tex] \dfrac{6(38 + c)}{6} = \dfrac{354}{6} [/tex]

[tex]38 + c = 59[/tex]

Solving further,

[tex]38 + c - 38 = 59 - 38[/tex]

[tex]c = 21[/tex]

So, the cost of each microphone = $21

The teacher spent this much on each microphone.

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Answer:

The teacher spent 21 dollars on each microphone.

Step-by-step explanation:

6 times 38 equal 228 - costumes

354 - 228 equal 126

126 divided by 6 equal 21

21 dollars on microphones

Hopefully this helps you :)

pls mark brainlest ;)