I have a College Algebra question I need help answering ASAP :))

Question

Sam's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Sam 4.10 per pound, and type B coffee costs 5.20 per pound. This month's blend used four times as many pounds of type B coffee as type A, for a total cost of 498. How many pounds of type A coffee were used?

Answer 1

B = 4a

4.1*A + 5.2*B = 498

4.1 A + 5.2(4a) = 498

4.1A + 20.8 a = 498

24.9 a = 498

a=20

b=80

yes, it checks