Question

What equation could we write to represent that the number of pounds of beans and the number of pounds of red lentils weighed a total of 10 pounds? Let b represent the number of pounds of beans and r represent the number of pounds of red lentils.
Cost of beans
+
Cost of red lentils
=
Total
Cost
2b
+
1.5r
=
17
Number of
pounds of beans
+
Number of
pounds of red lentils
=
Total weight
of the order
+
=

Answer 1

To represent that the number of pounds of beans \( b \) and the number of pounds of red lentils \( r \) weighed a total of 10 pounds, we can write the following equation:

\[
b + r = 10
\]

This equation shows that the sum of the pounds of beans and pounds of red lentils equals 10 pounds.

So the complete set of equations you have would be:

1. For the total weight:
\[
b + r = 10
\]

2. For the total cost:
\[
2b + 1.5r = 17
\]

These equations together capture both the weight and cost constraints of your order.