A company offers a nut mixture with 7 peanuts for every 4 almonds. The company changes the mixture to have 8 peanuts for every 5 almonds, but the number of nuts per container does not change. a. Complete a ratio table for each mixture. How many nuts are in the smallest possible container?

Old Mixture

Peanuts 7 14 21 28 35 42 49 56 63 70 77 84 91
Almonds
8
16 20 24 28
36 40 44 48 52
Total
22
44 55 66 77
99 110 121 132 143
New Mixture

Peanuts 8 16 24 32 40 48 56 64 72 80 88
Almonds
10 15 20 25 30
40
50
Total
26 39 52 65 78
104
130
There are
nuts are in the smallest possible container.

Question 2
b. Graph the ordered pairs from the tables. What can you conclude?
Both graphs begin at ( Response area, Response area ). The graph for the Response area mixture is slightly steeper, so it has Response area concentration of almonds.

Question 3
c. Almonds cost more than peanuts. Should the company charge more or less for the new mixture? Explain your reasoning.

The company
charge more for the new mixture. Almonds cost more and there are
of them in the new mixture than in the old mixture.