Machine generated alternative text: Application: Solving Systems of Equations
You should be able to write and solve a system of equations to find the solution to each problem. You
must show your work.

1.

The sum of two numbers is 47 and their difference is 14. Find the numbers.

2.

Five pencils and 6 Sharpies cost a total of $4.64, whereas 7 pencils and 3 Sharpies cost a total of
$3.58. Find the cost of each item.

3.

Seven toffees and three chocolates cost a total of $1.68, whereas four toffees and five
chocolates cost a total of $1.65. Find the cost of each of the sweets.

My System of Equations:

The Solution:

My System of Equations:

The Solution:

My System of Equations:

The Solution:

I need an equation for each of these problems, please help!