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notka56 [123]
3 years ago
8

The Lone Star Shipping Company charges $14 plus $2 a pound to ship an overnight package. Discount Shipping Company charges $20 p

lus $1.50 a pound to ship an overnight package. For what weight is the charge the same for the two companies?
Mathematics
1 answer:
Ymorist [56]3 years ago
4 0

Answer:

12 pound

Step-by-step explanation:

Let x be the weight of the package.

For Lone Star Shipping, the cost will be:

2x + 14

For Discount Shipping Company, the cost will be:

1.5x + 20

We hence equate these two expressions equal to each other, since the cost should be same.

2x + 14 = 1.5x + 20 \\2x - 1.5x = 20 -14\\0.5x = 6\\x = 6 \div 0.5\\x = 12

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