Answer:
44
Step-by-step explanation:
10 (packages) * 10.5 = $105
10 (packages) * 8.5 = $85
$105 + $85 = $190
$322 - $190 = $132
$132/$5.50 = 24 packages
So 20 (packages) + 24 (packages) = 44
The company uses three rates to determine the amount of purchase they procure. When the three rates are put into consideration, the total number of papers that can be bought for $3200 is 44 packages .
Given that:
[tex]Rate_1= \$10.50[/tex] for first 10
[tex]Rate_2 = \$8.50[/tex] for the next 10
[tex]Rate_3 = \$5.50[/tex] for additional
[tex]Amount = \$322.00[/tex]
Represent the additional package with x.
The equation that amounts to $322.00 is:
[tex]Amount = Rate_1 \times 10 + Rate_2 \times 10 + Rate_3 \times x[/tex]
So, we have:
[tex]322.00 = 10.50\times 10 + 8.50\times 10 + 5.50\times x[/tex]
[tex]322.00 = 105.0 + 85.0 + 5.50\times x[/tex]
Collect like terms
[tex]322.00 - 105.0 - 85.0 = 5.50\times x[/tex]
[tex]132.0 = 5.50\times x[/tex]
Solve for x
[tex]x = \frac{132.0}{5.50}[/tex]
[tex]x = 24[/tex]
So, the total number of packages that can be bought for $322.00 is:
[tex]Total = 10 + 10 + 24[/tex]
[tex]Total = 44[/tex]
Hence, a total of 44 packages of paper can be bought for $322.00
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