1.4 Setting Up Equations; Applications. Verbal Description. Language of Math. Mathematical Problem. Real Problem. Solution. Steps for Setting Up Applied Problem. Read the problem. Assign variable(s).
Language of Math
and some on bonds. If the amount invested in
bonds is three times the amount invested in stocks,
how much is invested in each category?
Let x denote the amount invested in stocks.
Then 10,000 - x is the amount invested in bonds.
Total amount in bonds = three times the stocks
10,000 - x = 3x
10,000 = 4x
x = 2,500
The total amount invested in stocks is $2,500.
The total amount invested in bonds is
50 miles on Fraser River, whose current is running
at 4 miles per hour. The trip up and back takes
6 hours. Assuming that the motorboat maintained
a constant speed relative to the water, what was
Denote v - velocity of the boat.
Solve this for v.
so we have the velocity:
So it takes 3.68 hours upstream and 2.32 hours
downstream. That is a total of 6 hours.