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The students at Midtown Middle school sold flowers as a fundraiser in September and October. In October, they charged $1.50 for each flower. The October price was a 20% increase of the September price.

Part A What was the price of the flowers in September?
Enter your answer in the box.
$___


Part B
The seventh-grade class earned 40% of the selling price of each flower. In September, they sold 900 flowers. In October, they sold 700 flowers. Select a choice from each drop-down menu to make a true statement.

The seventh-grade class earned more money in ___ by ___

First Blank Choices: September, October
Second Blank Choices: $30, $75, $90

Respuesta :

Part A) $1.25
Part B) September, $30

Explanation

Part A)
Let x be the amount the flowers sold for in September.  Since the October selling price is a 20% increase, this is 0.20x.  We add this to x, the price of September, since it is an increase:
x+0.2x

This is equal to October's selling price, 1.50:
x+0.2x = 1.50

Combine like terms:
1.20x = 1.50

Divide both sides by 1.20:
1.20x/1.20 = 1.50/1.20

x = 1.25

This means the flowers sold for $1.25 in September.

Part B)
We first find out how much money they collected from selling flowers in September.  The September selling price was $1.25, and they sold 900:
1.25(900) = 1125

They earn 40% of this:
0.40(1125) = $450

They earn $450 in September.

The October selling price was $1.50, and they sold 700 flowers:
1.50(700) = 1050

They earn 40% of this:
0.40(1050) = 420

They earn $420 in October.

This means they earn more money in September, and they earned 450-420 = $30 more.

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