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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