Learning Objectives

Problem 1 of 3

Sandy has 32 coins made up of nickels, dimes and quarters. The sum of the number of nickels and the number of quarters is three times the number of dimes. If the value of the coins is $4.60, how many of each kind of coin does she have?

Solution

Problem 2 of 3

A target is described in terms of coordinates (x, y), where x and y are measured in metres. All of the following are true:

• x ≤ 6
• y ≥ 7
• x + y ≤ 10
• All points (x, y) in target region are in the first quadrant.

(a) Draw the graph. What is the shape of the target?

(b) What is the area of the target?

(c) Write a system of equations that would represent the entire area of the Cartesian plane except the target area.

Solution

a)

Therefore our targets graph is:

b)

Area of any triangle = (base * height) / 2, since a triangle is half any rectangle or square (base*height)

Therefore:

Area = (base * height) / 2

Area = ((10-7)*(3-0)) / 2

Area = ((3)*(3)) / 2

Area = 9/2 Units²

c)

I tried all my best and couldn't find an answer.

Problem 3 of 3

coming soon ...

Solution