Bunuel wrote:

Brian purchased a bouquet of 40 flowers for his mother for her birthday. If roses cost $1.50 and tulips cost $1.00, and he spent $48 in total buying only those two types of flowers, how many tulips were in the bouquet?

A. 12

B. 16

C. 20

D. 24

E. 28

Here's an approach that involves

1 variable:

Let

t = # of tulips in bouquet

So.

40 - t = # of roses in bouquet

[since the total number of flowers is 40, the number of roses must be 40-t]So, (

$1.00)(

t) = the total COST of all t tulips

And (

$1.50)(

40 - t) = the total COST of all 40-t roses

We're told the bouquet costs $48.

So, we can write: (

$1.00)(

t) + (

$1.50)(

40 - t) = 48

Expand: t + 60 - 1.5t = 48

Simplify: 60 - 0.5t = 48

Subtract 60 from both sides: -0.5t = -12

Solve: t = 24

Answer: D

Cheers,

Brent

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