Answer:the number of pounds of blueberry granola that she should put in the mixture is 10 pounds.
the number of pounds of apple granola that she should put in the mixture is 20 pounds
Step-by-step explanation:
Let x represent the number of pounds of blueberry granola that she should put in the mixture.
Let y represent the number of pounds of apple granola that she should put in the mixture.
She wants to make a 30 pounds mixture. This means that
x + y = 30
A store is selling a mixture of apple granola and blueberry granola for $6.99 per pound. This means that the cost of the 30 pound mixture would be
30 × 6.99 = $209.7
Blueberry granola costs $8.99 per pound and apple granola costs $5.99. This means that
8.99x + 5.99y = 209.7 - - - - - - - - - -1
Substituting x = 30 - y into equation 1, it becomes
8.99(30 - y) + 5.99y = 209.7
269.7 - 8.99y + 5.99y = 209.7
- 8.99y + 5.99y = 209.7 - 269.7
- 3y = - 60
y = - 60/ -3
y = 20
Substituting y = 20 into x = 30 - y, it becomes
x = 30 - 20 = 10 pounds
are linearly independent if the ONLY solution to the following equation:
