SOLUTION: Systems of Inequalities 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 $

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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?
:
Let x = no. of 1.43 packs
then
(16-x) = no. of .95 packs
:
This equation should work:
:
1.43x + .95(16-x) = 1.10(16)
:
1.43x + 15.2 - .95x = 17.60
:
1.43x + .95x = 17.60 - 15.20
:
.48x = 2.40
x =
x = 5 pks of the 1.43 seed
and
16 - 5 = 11 pks of the .95 seed
:
;
Check solution in original equation:
1.43(5) + .95(11) = 1.10(16)
7.15 + 10.45 = 17.60; confirms our solution

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Let's call the number of nasturtium seed packets, N, and the number of Johnny-jumpup seed packets, J.
The total number of packets is 16.
1.
The total cost equation is


2.
Use eq. 1 to get an expression for N in terms of J.
1.

Now substitute that expression into eq. 2 and solve for J,
2.





Then from eq. 1,



.
.
.
11 nasturtium seed packets and 5 Johnny-jumpup seed packets make up the 16 packet set.