Question

The school talent show is 90 minutes long. The average rate of the show is about 10 acts every 30 minute. At this rate, how many acts will there be in the talent show? A 3 B 10 C 30 D 90 Part B The following year, the school decided to limit the length of each act to 4 minutes long. If they increase the length of the entire show to 100 minutes, how many acts per hour can they plan on? Answer: acts per hour

Answer 1

Explanation:

A. 12*x + 2*y = 90

6*x + 2*y = 60

To write system of equation you just need to sum all solo and ensemble acts and make it equal to how much they will last for.

B. Here we can multiply second equation with negative 1 and add it to first equation.

6x = 30

x = 5

now we replace x in any of 2 equations to get y.

30+2y = 60

2y = 30

y=15

Solo acts are 5 minutes long and ensemble acts are 15 minutes long

Answer 2

C. 30

90/30=3

3x10= 30

SECOND PART

the second year would only have 25 acts

100/4=25