Question

a friend is buying flowers for mothers day. because it is a friends 38th birthday, your friend wants to have 38 of her favorite flowers. her favorite flowers are daisies at $1.50 each and tulips at $2.50 each. IF the total bill is $67 how many tulips were bought?

Answer 1

Answer: She bought 28 daises and 10 Tulips.

Step-by-step explanation:

Let x represent the number of daises bought.

Let y represent the number of tulips bought.

Your friend want to have 38 of her favorite flowers. This means that

x + y = 38

Her favorite flowers are daisies at 1.50 each and tulips at 2.50 each if the total bill was 67, it means that

1.5x + 2.5y = 67 - - - - - - - - - - - - 1

Substituting x = 38 - y into equation 1, it becomes

1.5(38 - y) + 2.5y = 67

57 - 1.5y + 2.5y = 67

- 1.5y + 2.5y = 67 - 57

y = 10

x = 38 - y = 38 - 10

x = 28

Answer 2

Answer: She bought 28 daises and 10 Tulips.

Explanation:

Let x represent the number of daises bought.

Let y represent the number of tulips bought.

Your friend want to have 38 of her favorite flowers. This means that

x + y = 38

Her favorite flowers are daisies at 1.50 each and tulips at 2.50 each if the total bill was 67, it means that

1.5x + 2.5y = 67 - - - - - - - - - - - - 1

Substituting x = 38 - y into equation 1, it becomes

1.5(38 - y) + 2.5y = 67

57 - 1.5y + 2.5y = 67

- 1.5y + 2.5y = 67 - 57

y = 10

x = 38 - y = 38 - 10

x = 28