Question

Charmaine's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Charmaine $4.10 per pound, and type B coffee costs $5.60 per pound. This month's blend used four times as many pounds of type B coffee as type A, for a total cost of $1007.00 . How many pounds of type A coffee were used?

Number of pounds of type A coffee:____

Answer 1

B=4A (given)
4.1A+5.6B=1007 (given)

Thus:
4.1A+5.6(4A)=1007 (by substitution)
26.5A=1007
A=38

B=4A
B=4(38)=152

Check:
4.1A+5.6B=1007
4.1(38)+5.6(152)=1007
155.8+851.2=1007 (Checks)