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In: Advanced Math

Find the system of equations to model the problem. Don't solve the system. A paper company...

Find the system of equations to model the problem. Don't solve the system.

A paper company produces high grade, medium grade and low grade paper. The number of tons of each grade produced from a ton of pulp depends on the source of the pulp. The following table shows three different sources and the amount of each grade of paper that can be produced from one tonne of pulp from each source.

(Number of tons)

High grade Medium grade Low grade
Pulp from Brazil 0.6 0.3 0.1
Domestic pulp 0.5 0.3 0.2
Recycled pulp 0.3 0.4 0.3

The company has received an order for 11 tons of high grade paper, 15 tons of medium grade paper, and 14 tons of low grade paper. How many tons of each type of pulp must be used to accurately fulfill this order? Establish a system of linear equations. Let x, y, and z equal the number of tons of Brazilian pulp, domestic pulp, and recycled pulp, respectively, needed to fulfill the order.

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Expert Solution

Colby Messinger answered 1 year ago
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