Answer:
Taylor's age = x = 35 years
Marty's age = y = 50 years
Step-by-step explanation:
Let
Taylor's age = x
Marty's age = y
Taylor is 15 years younger than Marty.
x = y - 15
Twice Marty’s age added to three times Taylors age totals 205.
205 = 2y + 3x...... Equation 1
Therefore, we substitute y - 15 for x in
205 = 2y + 3x...... Equation 1
205 = 2y + 3(y - 15)
205 = 2y + 3y - 45
Collect like terms
205 + 45 = 5y
250 = 5y
y = 250/5
y = 50 years
x = y - 15
x = 50 - 15
x = 35 years
Solving for x
Therefore:
Taylor's age = x = 35 years
Marty's age = y = 50 years
Answer:
x = +2, x = -2
Step-by-step explanation:
The equation to solve in this problem is
The first step we do is to subtract 35 on both sides of the equation, so we get:
Now we simplify the equation by dividing both terms by 10:
Now we observe that the term on the left is the difference between two squares, so it can be rewritten using the property:
Where here,
a = x
b = 2
So we can rewrite the equation as:
And this equation is zero when either one of the two factors is zero, so the two solutions are:
39/120 = x / 1800....39 choc. chip to 120 students = x choc. chip to 1800 students
now we cross multiply because this is a proportion
(120)(x) = (39)(1800)
120x = 70200
x = 70200/120
x = 585 <===
or u could do it this way as well...
39 out of 120 picked chocolate chip....
39/120 = 0.325 = 32.5%....so 32.5% chose chocolate chip.
32.5% of 1800 = 0.325(1800) = 585 <==
The answer is 8,740 juice bottles in total
