A school fundraiser sells holiday cards and wrapping paper. They are trying to raise at least $400. They make a profit of $1.50 on each box of holiday cards and $1.00 on each pack of wrapping paper.
a. What is an inequality for the profit the school wants to make for the fundraiser?
b. If the fundraiser sells 100 boxes of cards and 160 packs of wrapping paper, will they reach their goal? Show your work.
a.
To find: the inequality for the profit that the school wants to make for the fundraiser
Answer to Problem 6STP
Inequality is
Explanation of Solution
Given information: A school fundraiser is trying to raise at least
Let
Profit made from selling 1 box of holiday cards
Profit made from selling
Profit made from selling 1 pack of wrapping paper
Profit made from selling
So,
Total profit made from selling holiday cards and wrapping paper
As school fundraiser is trying to raise at least
b.
To verify: whether the fundraiser will reach the goal if 100 boxes of cards and 160 packs of wrapping papers are sold
Explanation of Solution
Calculation:
Inequality that must be satisfied so that the fundraiser reaches the goal is
Number of boxes of cards sold
Number of packs of wrapping papers sold
Put
So,
Therefore, fundraiser will not reach the goal if 100 boxes of cards and 160 packs of wrapping papers are sold
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