deeky09
contestada

15 members of the Drama Club can make set decorations for their musical in 12 hours. After 4 hours have passed, a few teachers came to help, and the group completed the remaining work in 6 hours. How many teachers helped?

PLEASE help!!! I WILL AWARD BRAINLIEST.

Respuesta :

Answer:

5 teachers

Step-by-step explanation:

We know that the 15 members finished 1/3 of the job in 4 hours. When the teachers came they finished 2/3 of the job in 6 hours. So they finished 1/3 of the join in 3 hours of we simplify it.

4 hour: 15 minutes

3 hour: ?

15/3 x 4= 20 teaches. Then we do 20-15=5 because there were originally 15 members.

MrRoyal

The time spent and the number of people are illustrations of ratio and proportions.

5 teachers helped the 15 members of the drama club

We have:

[tex]t= 12hrs[/tex] --- time

[tex]n = 15[/tex] --- members of the drama club

After four hours, the amount of time left is 8 hours.

So, we have:

[tex]15\ members \to 8\ hours[/tex]

But the teachers joined them, and they finished in 6 hours.

So, we have:

[tex](x + 15) \to 6\ hours[/tex]

Where x represents the number of teachers

Rewrite as:

[tex]15\ members \to 8\ hours[/tex]

[tex](x + 15) \to 6\ hours[/tex]

Multiply

[tex](x + 15) \times 6 = 15 \times 8[/tex]

[tex]6x + 90 = 120[/tex]

Collect like terms

[tex]6x = 120 - 90[/tex]

[tex]6x = 30[/tex]

Divide both sides by 6

[tex]x = 5[/tex]

Hence, 5 teachers helped them.

Read more about ratios and proportions at:

https://brainly.com/question/13114933

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