chrisraptorofficial
15.10.2020 •
Mathematics
Aldo the trainer has two solo workout plans that he offers his clients: plan a and plan b. Each client does either one or the other (not both). On friday there 8 were clients who did plan a and 3 who did plan b. On saturday there were 3 clients who did plan a and 5 who did plan b. Aldo trained his friday clients for a total of 7 hours and his saturday clients for a total of 6 hours. How long does each of the workout plans last?
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Ответ:
x = number of hours to train plan a clients
x = 0.55 hour
y = number of hours to train plan b clients
y = 0.87 hours
Step-by-step explanation:
Friday
Plan a = 8 clients
Plan b = 3 clients
Total hours = 7
Saturday
Plan a = 3 clients
Plan b = 5 clients
Total hours = 6
Let
x = number of hours to train plan a clients
y = number of hours to train plan b clients
8x + 3y = 7 (1)
3x + 5y = 6 (2)
Multiply (1) by 5 and (2) by (3)
40x + 15y = 35 (3)
9x + 15y = 18 (4)
Subtract (4) from (3)
40x - 9x = 35 - 18
31x = 17
Divide both sides by 31
x = 17 / 31
= 0.548 hour
Approximately
x = 0.55 hour
Substitute x = 0.55 hour into (1)
8x + 3y = 7
8(.55) + 3y = 7
4.4 + 3y = 7
3y = 7 - 4.4
3y = 2.6
Divide both sides by 3
y = 2.6 / 3
= 0.867 hours
Approximately
y = 0.87 hours
x = number of hours to train plan a clients
x = 0.55 hour
y = number of hours to train plan b clients
y = 0.87 hours
Ответ:
I have been trying to reach the factors in the factors