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sahaitong2552
04.11.2020 •
Mathematics
In a talent show of singing and comedy acts, singing acts are 4.5 minutes long and comedy acts are 3.5 minutes long. The show has 14 total acts and lasts 59 minutes. How many singing acts and comedy acts are there?
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Ответ:
Step-by-step explanation:
Let the number of singing act be x
Let the number of comedy act be y
If the total act is 14, then;
x+y = 14 1
If singing acts are 4.5 minutes long and comedy acts are 3.5 minutes long and the acts lasts 59 minutes, then:
4.5x + 3.5y = 59 2
Solve both equation simultaneously for x and y
x+y = 14
45x+35y = 590
x+y = 14 *9
9x+7y = 118 1
9x+9y = 126
9x+7y = 118
Subtract both equations
9y-7y = 126-118
2y = 8
y = 8/2
y = 4
Substitute y = 4 into equation 1;
From 1: x+y = 14
x+4 = 14
x = 14-4
x =10
Hence there are 10 singing acts and 4 comedy acts in the show
Ответ:
1/4 / 3 = 1/12
1/4 * 3/1 does not equal 12
It equals 3/4
Step-by-step explanation: