Question

Alaina is selling wreaths and poinsettias for her chorus fundraiser. Wreaths cost $27 each poinsettias cost $20 each. If she sold 15 poinsettias and made $543, how many wreaths did she sell?

Answer 1

20$ × 15 = 300

543- 300= 243

243÷ 27= 9

she sold wreaths

Answer 2

She sold 9 wreaths

Explanation:

Let's name things:

Be wreaths called w, and poinsettias called p, then each w=$27 and each p=$20.

Now, let's write some helpfull equation:

`15p+xw=\$543`

where p and w are already defined, and the equation represents the hypothesis (she sold 15 poinsettias, an unknown quantity of wreaths called x, and made $543).

Then, from the equation we clear x

`15p+xw=\$543\Leftrightarrow (15)(20)+x(27)=543\Leftrightarrow x=(543-(15)(20))/(27)`

therefore

`x=9`

is the quantity of wreaths that Alaina sold.