Number of boys=x
number of girls=y.
We can suggest this system of equations:
x/y=8/7 ⇒x=8y/7
x+y=195
this system of equations can be solve by substitution method.
(8y/7)+y=195
least common multiple=7
8y+7y=1365
15y=1365
y=1365/15
y=91
x=8y/7
x=8*91 / 7
x=728/7
x=104
Answer: there were 104 boy campers and 91 girl campers.
Answer:
x = 4, y = -2
Step-by-step explanation:
General formula to make slope-intercept form
y - y₁ = m(x - x₁)
From the question, we know that
m = 3/4
(x₁,y₁) = (-8,3)
Put the number to the formula
y - y₁ = m(x - x₁)
y - 3 = 3/4(x - (-8))
y - 3 = 3/4(x + 8)
y - 3 = (3/4)x + 6
y = (3/4)x + 9
Answer:
69 weeks
Step-by-step explanation:
Let the number of weeks be x.
The first tank holds 621 gallons is leaking at a rate of 4 gallons per week. This means that after x weeks, the amount of water in the tank is:
621 - 4x
The second tank holds 828 gallons is leaking at a rate of 7 gallons per week. This means that after x weeks, the amount of water in the tank is:
828 - 7x
After a certain amount of weeks, the amount of water in both tanks is the same. That means that:
621 - 4x = 828 - 7x
=> 7x - 4x = 828 - 621
3x = 207
x = 207 / 3 = 69
This means that the amount of water in the tank will be the same after 69 weeks.
