Question

The school beautification club bought daisies and tulips to plant in front of the school. They bought 36 plants in all. Each daisy cost $5.00 and each tulip cost $8.00. The club spent $228 for the plants.

a) How many daisies did they buy?
b) How many tulips did they buy?
c) What was the total cost of the daisies?
d) What was the total cost of the tulips?

Answer 1

The club bought 20 daisies and 16 tulips. They spent $100 on daisies and $128 on tulips, with the total being $228.

Step-by-step explanation:

The problem can be solved using a system of equations because there are two unknown variables: the number of daisies and the number of tulips. We will define daisies as 'd' and tulips as 't'. The first equation comes from the total number of plants: d + t = 36. The second equation represents the total cost of the plants: 5d + 8t = 228. We can solve this system using substitution or elimination. Let's use substitution:

Solve the first equation for 'd': d = 36 - t.

Substitute 'd' in the second equation: 5(36 - t) + 8t = 228.

Simplify and solve for 't': 180 - 5t + 8t = 228,

resulting in 3t = 48,

then t = 16.

Substitute 't' back into the first equation to find 'd': d = 36 - 16, therefore

d = 20.

So, the club bought 20 daisies and 16 tulips. To find out the total cost for each flower type:

• Total cost of daisies: 20 daisies × $5.00 = $100.
• Total cost of tulips: 16 tulips × $8.00 = $128.