A florist arranges some orchids in bouquets of 20 and some roses in bouquets of 10. She sells each orchid bouquet for $25 and each rose bouquet for $30. She earns a total of $390. If she sells four times as many orchid bouquets as rose bouquets, how many flowers does she sell altogether?

270 flowers total she sell Together.

Step-by-step explanation:

According to the Question,

Let, x = number of orchid bunches & y = number of rose bunches.

Therefore, 25x + 30y = 390 ⇒⇒ Equation 1  

she sells 4 times as many orchid bunches as rose bunches,

Therefore,  x = 4y  ⇒⇒ Equation 2

25 × (4y) + 30y = 390  

100y + 30y = 390

130y = 390  ⇔ y = 390 / 130 ⇒ 3  

if y = 3, then x = 4y must be equal to x= 12.

Thus, she sold 12 orchid bunches and 3 rose bunches.

Now, Each orchid bunch contains 20 flowers and each rose bunch contains 10 flowers.

step-by-step explanation:

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- both graphs increase on their domain.

- the graphs of both functions have the same x-intercept.

- neither graph has a y-intercept.