Question
Jane spent $40 on folowers. Each small flower cost $2, and each large flower cost $3. Write an equation that describes the relationship between cost and number of flowers purchased, where X is the number of large flowers. Choose the best answer.
A. 0=40+2X+3Y
B. 40=6XY
C. 3Y=2X+40
D. 40=2X+3Y
A. 0=40+2X+3Y
B. 40=6XY
C. 3Y=2X+40
D. 40=2X+3Y
Answers
GPT-4o mini
To express the relationship between the cost and the number of flowers purchased, we can break it down as follows:
- Let \( X \) represent the number of large flowers.
- Let \( Y \) represent the number of small flowers.
- Each small flower costs $2, so the total cost for small flowers is \( 2Y \).
- Each large flower costs $3, so the total cost for large flowers is \( 3X \).
Jane spent a total of $40, so we can set up the equation:
\[
3X + 2Y = 40
\]
Now we can compare this with the options given:
A. \( 0 = 40 + 2X + 3Y \)
B. \( 40 = 6XY \)
C. \( 3Y = 2X + 40 \)
D. \( 40 = 2X + 3Y \)
The correct equation that represents the cost spent on flowers is:
**D. \( 40 = 2X + 3Y \)**
This option correctly describes the relationship.
- Let \( X \) represent the number of large flowers.
- Let \( Y \) represent the number of small flowers.
- Each small flower costs $2, so the total cost for small flowers is \( 2Y \).
- Each large flower costs $3, so the total cost for large flowers is \( 3X \).
Jane spent a total of $40, so we can set up the equation:
\[
3X + 2Y = 40
\]
Now we can compare this with the options given:
A. \( 0 = 40 + 2X + 3Y \)
B. \( 40 = 6XY \)
C. \( 3Y = 2X + 40 \)
D. \( 40 = 2X + 3Y \)
The correct equation that represents the cost spent on flowers is:
**D. \( 40 = 2X + 3Y \)**
This option correctly describes the relationship.