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a mail gardening equipment business shipped 119 packages in one day customers are charged 4 50 for each standard delivery

Question

A mail gardening equipment business shipped 119 packages in one day. Customers are charged 4.50 for each standard delivery package and $9.00 for each express delivery package. Total shipping charges for the day were $720. How many of each package were shipped. There were _ standard delivery packages and_ express delivery packages shipped

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Answer to a math question A mail gardening equipment business shipped 119 packages in one day. Customers are charged 4.50 for each standard delivery package and $9.00 for each express delivery package. Total shipping charges for the day were $720. How many of each package were shipped. There were _ standard delivery packages and_ express delivery packages shipped

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102 Answers

Let's assume the number of standard delivery packages shipped is

x

and the number of express delivery packages shipped is

y

.

We know two things:
1. The total number of packages shipped is 119, therefore

x + y = 119

.
2. The total shipping charges for the day were

720, therefore

4.50x + 9y = 720$.

Solving the system of equations:
From equation (1):

x = 119 - y

Substitute

x

in equation (2):

4.50(119 - y) + 9y = 720

535.50 - 4.50y + 9y = 720

4.50y = 184.50

y = 41

Substitute

y

back into equation (1):

x = 119 - 41

x = 78

Therefore, there were 78 standard delivery packages and 41 express delivery packages shipped.

\boxed{78 \text{ standard delivery packages and } 41 \text{ express delivery packages shipped}}

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