Ask Question
19 December, 19:43

The events committee buys 80 flowers for a school dance. The flowers are a combination of carnations and roses. Each carnation costs $0.50, and each rose costs $2.50. The committee spends a total of $72, not including tax.

How many of each type of flower does the committee buy?

+3
Answers (1)
  1. 19 December, 22:46
    0
    64 carnations and 16 roses.

    Step-by-step explanation:

    The events committee buys 80 flowers

    The flowers are a combination of carnations and roses.

    Each carnation costs $0.50 and each rose costs $2.50

    The committee spends a total of $72

    Solution:

    Let there be (c) carnations and (r) roses.

    So,

    c + r = 80 flowers

    and $0.50c + $2.50 = $72

    This forms a simultaneous equation:

    c + r = 80 ... (i)

    0.5c + 2.5r = 72 ... (ii)

    Multiplying equation (i) by 0.5 and equation (ii) by 1 gives;

    0.5c + 0.5r = 40 ... (i)

    0.5c + 2.5r = 72 ... (ii)

    Subtracting (i) from (ii) gives;

    0c + 2r = 32

    2r = 32

    r = 32 : 2 = 16

    Therefore, there are 16 roses

    and 80 - 16 = 64 carnations
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “The events committee buys 80 flowers for a school dance. The flowers are a combination of carnations and roses. Each carnation costs $0.50, ...” in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers