Q:

 A store allows customers to fill their own bags of candy. Terri decides she only wants jelly beans and chocolate drops. Jelly beans sell for $0.90 per pound, and chocolate drops sell for $0.70 per pound. Terri’s bag weighs 5 pounds and it costs $4.10. How many pounds of jelly beans and chocolate drops did Terri buy? please help me.

Accepted Solution

A:
jelly beans - $0.98 per pound
chocolate drops - $0.67 per pounds
Terri's bag = 2.1 pounds and $1.56

p = represents the pounds jelly beans.
c = represents the pounds in chocolate drops

p + c  = 2.1
0.98p + 0.67c = 1.56

c = 2.1 - p  ; number of pounds of chocolate drops

0.98p + 0.67(2.1 - p) = 1.56
0.98p + 1.41 - 0.67p = 1.56
0.98p - 0.67p = 1.56 - 1.41
0.31p = 0.15
p = 0.15/0.31
p = 0.48 pounds of jelly beans

c = 2.1 - 0.48
c = 1.62 pounds of chocolate drops.