Question

A florist made flower bouquets with a mix of roses, tulips, and daisies. she used 315 flowers altogether. the florist used twice as many tulips as roses. she used twice as many daisies as tulips. how many tulips did the florist use in the bouquets?

Answer 1

The number of tulips is 90.

Let 'x' be the number of tulips.

The number of roses = Half of the number of tulips =
`(x)/(2)`

The number of daisies = Twice the number of tulips = 2x

The total number of flowers = 315

∴ The number of flowers= the sum of all the flowers

⇒ 315 = x +
`(x)/(2)` + 2x

Multiply all by 2 to remove the denominator,

⇒ 630 = 2x + x + 4x

630 = 7x

x = 630 ÷ 7

x = 90

Thus, the number of tulips is equal to 90.