Question

Christine bought 5 pink and yellow tulips to make a bouquet. The pink tulips cost $1 apiece and the yellow tulips cost $2 apiece. If Christine spent exactly $9 on the tulips, how many of each color did she buy?

Answer 1

Answer: she bought 1 pink tulip and 4 yellow tulips.

Explanation:

Let x represent the number of pink tulips that she bought.

Let y represent the number of yellow tulips that she bought.

Christine bought 5 pink and yellow tulips to make a bouquet. This means that

x + y = 5

The pink tulips cost $1 a piece and the yellow tulips cost $2 a piece. If Christine spent exactly $9 on the tulips, it means that

x + 2y = 9 - - - - - - - - - - -1

Substituting x = 5 - y into equation 1, it becomes

5 - y + 2y = 9

- y + 2y = 9 - 5

y = 4

x = 5 - y = 5 - 4

x = 1

Answer 2

The answer to your question is 1 pink and 4 yellow tulips

Explanation:

Data

number of pink tulips and yellow = 5

cost of tulip yellow = y = $2

cost of tulip pink = p = $1

total cost = $9

Process

1.- Write equations to solve this problem

p + y = 5

1p + 2y = 9

Solve by elimination

-1 ( p + y = 5) - p - y = -5

1p + 2y = 9 p + 2y = 9

0 + y = 4

2.- Find p

p + 4 = 5

p = 5 - 4

p = 1

3.- Conclusion

She bought 1 pink tulip and 4 yellow tulips