Answer:
The number of :
Red carnations sold = x = 692 carnations
Pink carnations sold = y = 231 carnations
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 1 less than 3 times the number of pink carnations sold.
x = 3y - 1 .....Equation 1
Red carnations were sold for $0.60 each and Pink Carnations sold for $0.80 each. The club made $600.00. .
$0.60 × x + 0.80 × y = $600
0.6x + 0.80y = 600...... Equation 2
Using substitution method:
Let us substitute, 3y - 1 for x in Equation 2
0.6(3y - 1) + 0.80y = 600
1.8y - 0.6 + 0.80y = 600
1.8y + 0.80y = 600 + 0.6
2.6y = 600.6
y = 600.6 ÷ 2.6
y = 231 carnations
Solving for x
x = 3y - 1 .....Equation 1
x = 3(231) - 1
x =693 − 1
x = 692 carnations
Therefore, The number of :
Red carnations = x = 692 carnations
Pink carnations = y = 231 carnations