Problema Solution
Joy is an instructional assistant in one of the college labs. She is on a very tight budget. She loves Jamaican Blue Mountain coffee, but it costs $11 a pound. She decides to blend this with regular coffee beans that costs $1.63 a pound. If she spends $14.25 on 2 pounds of coffee, how many pounds of each did she purchase?
Answer provided by our tutors
A total of $14.25 was spent:
j*11 + r*1.63 = 14.25
A total of two pounds of coffee was used:
j + r = 2
Solving for 'r' by eliminating 'j':
j*11 + r*1.63 = 14.25
j*11 + r*11 = 22
11r - 1.63r = 22 - 14.25
9.37r = 7.75
r = 1.209
j = 2. - 1.209 = 0.791
So 1.209 pounds of regular coffee were mixed with
0.791 pounds of Jamaican Blue Mountain coffee.