Review examples 2, 3, and 4 in section 8.4 of the text. How
does the author determine what the first equation should be? What about the second equation?
How are these examples similar? How are they different? Find a problem in the text that is similar
to examples 2, 3, and 4.
EXAMPLE 2 Blending Flower Seeds. Tara's website, Garden Edibles, specializes
in the sale of herbs and flowers for colorful meals and garnishes. Tara
sells packets of nasturtium seeds for $0.95 each and packets of Johnny-jumpup
seeds for $1.43 each. She decides to offer a 16-packet spring-garden combination,
combining packets of both types of seeds at $1.10 per packet. How
many packets of each type of seed should be put in her garden mix?
EXAMPLE 3 Student Loans. Jed's student loans totaled $16,200. Part was
a Perkins loan made at 5% interest and the rest was a Stafford loan made at 4%
interest. After one year, Jed's loans accumulated $715 in interest. What was the
amount of each loan?
EXAMPLE 4 Mixing Fertilizers. Yardbird Gardening carries two kinds of
fertilizer containing nitrogen and water. "Gently Green" is 5% nitrogen and
"Sun Saver" is 15% nitrogen. Yardbird Gardening needs to combine the two
types of solution to make 90 L of a solution that is 12% nitrogen. How much
of each brand should be used?
Neat, step-by-step solutions are provided.