Sunflower seeds: $0.75 per pound

Question

Pumpkin seeds: $0.50 per pound
How many pounds of sunflower seeds and pumpkin seeds are in this order?
Start by writing an expression to represent the cost of s pounds of sunflower seeds. Keep in mind that 1 pound of sunflower seeds costs $0.75
Cost of s
pounds of
sunflower seeds
+
Cost of p pounds of pumpkin seeds
=
Total Cost

+
?
=
?
Nice!
Now, add an expression to represent the cost of p pounds of pumpkin seeds. Keep in mind that 1 pound of pumpkin seeds costs $0.50.
Cost of
s
pounds of sunflower seeds
+
Cost
of
p
pounds of
pumpkin seeds
=
Total Cost
0.75s
+

=
?
Good work!
Finally, what do you need to set the expression equal to? Reread the problem to determine the total cost of the order.
Cost of sunflower seeds
+
Cost of pumpkin seeds
=
Total
Cost
0.75s
+
0.5p
=

Good work!
What equation could we write to represent that the number of pounds of sunflower seeds and the number of pounds of pumpkin seeds weighed a total of 20 pounds? Let s represent the number of pounds of sunflower seeds and p represent the number of pounds of pumpkin seeds.
Cost of sunflower seeds
+
Cost of pumpkin seeds
=
Total
Cost
0.75s
+
0.5p
=
13
Number of
pounds of sunflower seeds
+
Number of
pounds of pumpkin seeds
=
Total weight
of the order

+

=

Answer 1

Let's summarize what we've established and then complete the equation based on the provided details.

1. Cost Expressions:

   • The cost of \( s \) pounds of sunflower seeds is \( 0.75s \).
   • The cost of \( p \) pounds of pumpkin seeds is \( 0.50p \).
   • Therefore, the total cost can be expressed as: \[ 0.75s + 0.50p = \text{Total Cost} \]
   • We are given that the total cost is \( 13 \) dollars, so we have: \[ 0.75s + 0.50p = 13 \]

2. Weight Expression:

   • The total weight of sunflower seeds and pumpkin seeds is given as 20 pounds. Therefore, we can express this as: \[ s + p = 20 \]

Now we have two equations to represent this scenario:

1. Cost equation: \[ 0.75s + 0.50p = 13 \]

2. Weight equation: \[ s + p = 20 \]

We can use these two equations to solve for the values of \( s \) (pounds of sunflower seeds) and \( p \) (pounds of pumpkin seeds).