Question

Monique likes to make vegetable soup that uses frozen peas and sweet corn. She sees them on sale, and grabs 12
bags total of peas and corn. Each bag of peas cost $2.89
and each bag of corn cost $3.25
.

Using the information above, build the equations for the system using "p
" for the number of bags of peas, and "c
" for the number of bags of corn.

Which system of equations would be used to find out how many bags of each she purchased, if the total came to $37.90
?
A.6p+6c=12 p+c =37.90
B.p+c=12 3.25p+ 2.89c=37.90
C.2.89p=18.95 3.25c=18.95
D.p+c=12 2.89p+3.25c=37.90
E. 2.89p +3.35c=12 p+c=37.90
F. 2.89p+3.25c= 12 18.95p+18.95c=37.90
Best answer

Answer 1

To define the system of equations based on the information provided:

1. **Let \( p \)** = the number of bags of peas.
2. **Let \( c \)** = the number of bags of corn.
3. **Total bags of peas and corn**:
\[
p + c = 12
\]
4. **Total cost of the bags**:
\[
2.89p + 3.25c = 37.90
\]

With these two equations, we can represent the system as:
1. \( p + c = 12 \)
2. \( 2.89p + 3.25c = 37.90 \)

Looking at the options provided, the one that matches this system is:

**D. \( p + c = 12 \) and \( 2.89p + 3.25c = 37.90 \)**

So the best answer is **D**.