# Question #c32f9

Oct 3, 2016

$329 + 658 = 987$ roses altogether

#### Explanation:

There are 2 unknowns - the number of red roses and the number of white roses.
You can use one variable to define both of them
He sold fewer white roses, choose this as $x$

Let the number of white roses be $x$.
The number of red roses is $2 x \text{ } \leftarrow$ twice as many as white roses

Each white rose costs $10 and each red rose costs$8

$10 x + 8 \times 2 x = 8554$

$10 x + 16 x = 8554$

$26 x = 8554$

$x = \frac{8554}{26}$

$x = 329$ white roses

$2 x = 2 \times 329 = 658$red roses

$329 + 658 = 987$ roses altogether