What equation could we write to represent that the number of pounds of cashews and the number of pounds of peanuts weighed a total of 11 pounds? Let c represent the number of pounds of cashews and p represent the number of pounds of peanuts.

Question

Cost of cashews
+
Cost of peanuts
=
Total
Cost
3c
+
2.5p
=
31
Number of
pounds of cashews
+
Number of
pounds of peanuts
=
Total weight
of the order
+
=

Answer 1

To represent the total weight of the order, you can write the equation as follows:

\[ c + p = 11 \]

Where:

• \( c \) represents the number of pounds of cashews,
• \( p \) represents the number of pounds of peanuts,
• The total weight of the order is 11 pounds.

So, the complete equations you have are:

1. For the total weight: \[ c + p = 11 \]

2. For the total cost: \[ 3c + 2.5p = 31 \]

With these two equations, you can now work with both the weight and the cost of the cashews and peanuts.