Question

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?

Answer 1

Answer:

270 flowers total she sell Together.

Step-by-step explanation:

According to the Question,

• Given, A florist arranges some orchids in bouquets of 20 and some roses in bouquets of 10.

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

• Now, She sells each orchid bouquet for $25 and each rose bouquet for $30. She earns a total of $390

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

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

Therefore,  x = 4y  ⇒⇒ Equation 2

• Put The Value Of Equation 2 in Equation 1, We get

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.

• Verify, 25x + 30y = 390 ⇔ 12 × 25 + 3 × 30 = 390 (All okay)

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

• 12 × 20 + 3 × 10 = 240 + 30 ⇔ 270 flowers total she sell Together.