Answer:
The number of :
Red carnations sold = x = 687 carnations
Pink carnations sold = y = 342 carnations
How many of each carnation were
Step-by-step explanation:
Let us represent
The number of :
Red carnations = x
Pink carnations = y
The Student Advisory Council here at PC sells red and pink carnations every year for Valentine's Day.
The number of red carnations sold was 3 more than 2 times the number of pink carnations sold.
x = 3 + 2y .....Equation 1
Red Carnations were sold for $ 0.50 each and Pink Carnations sold for $0.75 exh . The club made $600.00 .
$0.50 × x + 0.75 × y = $600
0.5x + 0.75y = 600...... Equation 2
Using substitution method:
Let us substitute, 3 + 2y for x in Equation 2
0.5(3 + 2y) + 0.75y = 600
1.5 + y + 0.75y = 600
y + 0.75y = 600 - 1.5
1.75y = 598.5
y = 598.5/ 1.75
y = 342 carnations.
Solving for x
x = 3 + 2y .....Equation 1
x = 3 + 2(342)
x = 3 + 684
x = 687 carnations
Therefore, The number of :
Red carnations = x = 687 carnations
Pink carnations = y = 342 carnations
