Solving a value mixture problem using a linear equation

Question

Shen's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Shen $4.70

 per pound, and type B coffee costs $5.75

 per pound. This month, Shen made 146

 pounds of the blend, for a total cost of $743.95

. How many pounds of type A coffee did he use? 

Answer 1

a represents the amount of type A

146 - a represents the amount of type B

4.70a + 5.75(146 - a) = 743.95

Can you solve for a and answer?