The events committee buys 100 flowers for a school dance. The flowers are a
combination of carnations and roses. Each carnation costs $0.75, and each rose
costs $2.75. The committee spends a total of $139, not including tax.
How many of each type of flower does the committee buy?
0 61 carnations: 40 roses
48 carnations: 24 roses
54 carnations: 32 roses
68 carnations: 32 roses

D) 68 carnations & 32 roses

Step-by-step explanation:

First of all, we need to identify the parts of the problem that we already know.

1) The events committee bought a total of 100 flowers.

2) The events committee spent a total of $139 on the carnations and roses, combined.

3) One carnation costs $0.75

4) One rose costs $2.75

We can create a formula to find the price of the flowers:

(x times $0.75) + (y times $2.75)= $139

If we calculate it out, the only option that fits the equation is 68 carnations and 32 roses.

a - base

b - exponent

so,