What equation could we write to represent that the number of pounds of trail mix and the number of pounds of granola weighed a total of 21 pounds? Let t represent the number of pounds of trail mix and g represent the number of pounds of granola.

Question

Cost of trail mix
+
Cost of granola
=
Total
Cost
3t
+
2g
=
51
Number of
pounds of trail mix
+
Number of
pounds of granola
=
Total weight
of the order
+
=

Answer 1

To represent the total weight of the trail mix and granola, you can use the following equation:

\[ t + g = 21 \]

Where:

• \( t \) represents the number of pounds of trail mix.
• \( g \) represents the number of pounds of granola.

In addition, you've provided another equation related to the costs:

\[ 3t + 2g = 51 \]

This equation represents the total cost based on the price per pound of trail mix and granola.

In summary, you have two equations:

1. For the total weight: \[ t + g = 21 \]

2. For the total cost: \[ 3t + 2g = 51 \]