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you are buying one flower for each member of the swim team to wear at an awards tonight there are 19 members on the team you have decided to buy pink roses and yellow roses the pink roses cost $3 and the yellow roses cost $2 you will spend $50 how many pink roses should you buy?how many yellow roses should you buy?

User Vitormil
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2 Answers

7 votes

Final answer:

To solve the problem, we set up two equations representing the number of team members and the total cost of roses, respectively. By solving these equations, we find that we should buy 8 pink roses and 11 yellow roses.

Step-by-step explanation:

This problem is a type of algebraic word problem. We need to find out the number of pink roses and yellow roses to purchase with the total amounts of $50. Here's how we can solve this: Assuming that 'p' stands for pink roses and 'y' stands for yellow roses. We have two equations based on the problem:

  • p + y = 19 (This is because there are 19 members on the team.)
  • 3p + 2y = 50 (That's because the pink roses cost $3 and the yellow roses cost $2 and you'll spend a total of $50.)

By resolving these system of equations, the solution yields that you should buy 8 pink roses and 11 yellow roses.

Learn more about Algebraic Word Problem

User Xiaojing
by
5.8k points
4 votes

Answer: There are 12 pink roses and 7 yellow roses.

Step-by-step explanation:

Since we have given that

Total number of members = 19

Let the number of pink roses be x

Let the number of yellow roses be 19-x

Cost of pink roses be $3

Cost of yellow roses be $2

Total amount spend to buy = $50

According to question,


3x+(19-x)2=\$50\\\\3x+38-2x=\$50\\\\x+38=\50\\\\x=\$50-\$38\\\\x=\$12

Hence, Number of pink roses be 12

and number of yellow roses be


19-12=7

Hence, there are 12 pink roses and 7 yellow roses.

User Arb
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6.9k points