Let the number of two-hour lessons be x and the number of one-hour lessons be y; this gives us the equations
2x + y = 25
50x + 30y = 690
To find x and y, we can solve the quadratic equation provided;
from the first equation:
y = 25 - 2x.......i
By substituting equation i into the second equation, we arrive at:
50x + 30(25 - 2x) = 690
50x + 750 - 60x = 690
-10x = -60
So,
x = 6
Thus, we find that the total number of two-hour lessons is 6 hours.
Answer:
girls = 90
boys = 125
adults = 20
Detailed explanation:
Total attendees at the summer camp = 235
Let
girls = x
boys = x + 35
adults = x - 70
Total attendees = girls + boys + adults
235 = x + (x + 35) + (x - 70)
235 = x + x + 35 + x - 70
235 = 3x - 35
Add 35 to each side
235 + 35 = 3x
270 = 3x
Divide both sides by 3
x = 270/3
= 90
x = 90
girls = x = 90
boys = x + 35
= 90 + 35
= 125
adults = x - 70
= 90 - 70
= 20
Total = 90 + 125 + 20
= 235
The answer is deductive reasoning. Deductive reasoning begins from a premise or general statement accepted as true and logically progresses to conclusions that are definitively valid. This method employs a top-down approach to link premises to conclusions.
