<span>To make this problem simple, let's make Pat's age be 'a' for age.
So is Ron is 5 years older than double a, Ron is 2a+5 years old.
If their ages added together are less that 35 we have a + 2a + 5 < 35
Simplifying by collecting like terms, 3a +5 < 35
and subtracting 5 from each side, 3a<30
dividing each side by 3, a<10
So the greatest age Pat could be is infact 9 (as his age has to be less than 10)</span>
Answer:
-2/5
Step-by-step explanation:
The constant of variation is k in y= kx
We need to get the equation in this form
y/x = -2/5
Multiply each side by x
y/x*x = -2/5 x
y = -2/5 x
The constant of variation is -2/5
Money invested S + B = $5000 - - - - (a)
Money earned can be represented in S & B as follows:
0.07*S + 0.14*B =$500 - - - - (b)
Equations a & b are two equations with two unknowns.
From equation a:
S = 5000 - B
Replace S in equation b
0.07*(5000 - B) + 0.14*B =$500
0.07B = 500 - 350 = $150
B = 150/0.07 = $2142.86
S = 5000 - 2142.86 = $2857.14
Good luck
