How many types of each birdseed?

Question

The Carters can purchase​ Season's Choice Birdseed Blend for ​$1.98 per pound and Garden Mix Birdseed Blend for ​$1.38 per pound. If they wish to purchase 20 pounds and spend ​$33 on​ birdseed, how many pounds of each type should they​ buy?

Answer 1

1.98x + 1.38(20-x) = 33

.6x = 33- 27.6= 5.4

x = 5.4/.6 = 9 lb of $1.98

and 21 lb of $1.38

1.98(9)+ 1.38(11)= 17.82+ 15.18=33

=20(1.65)

198-165 =33

165=138=27

33/27 =11/9 means 11 lbs $1.38 and 9 lbs of $1.98

mixed together yield 20 lbs of $1.65