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O LINEAR EQUATIONS AND INEQUALITIESPaulSolving a value mixture problem using a linear equationEspañolJenny's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Jenny $4.80 per pound, and type B coffee costs $5.85 perpound. This month, Jenny made 155 pounds of the blend, for a total cost of $845.85. How many pounds of type A coffee did she use??XNumber of pounds of type A coffee:

Question
O LINEAR EQUATIONS AND INEQUALITIES
Paul
Solving a value mixture problem using a linear equation
Español
Jenny's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Jenny $4.80 per pound, and type B coffee costs $5.85 per
pound. This month, Jenny made 155 pounds of the blend, for a total cost of $845.85. How many pounds of type A coffee did she use?
?
X
Number of pounds of type A coffee:
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O LINEAR EQUATIONS AND INEQUALITIES Paul Solving a value mixture problem using a linear equation Español Jenny's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Jenny $4.80 per pound, and type B coffee costs $5.85 per pound. This month, Jenny made 155 pounds of the blend, for a total cost of $845.85. How many pounds of type A coffee did she use? ? X Number of pounds of type A coffee:

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Step 1

Let x be a number of pounds of type A coffee.

Here, total number of pounds is 155 and two types of coffee.

Thus, the number of type B coffee is 155-x.

Cost of type A coffee is product of x and 4.80 and cost of type B coffee is product of
(155-x) and 5.85.
Cost of type A coffee 4.80x
Cost of type B coffee (155-x)5.85
Since total cost is S845.85, 4.80x +(155 -x)5.85 = 845.85
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Cost of type A coffee is product of x and 4.80 and cost of type B coffee is product of (155-x) and 5.85. Cost of type A coffee 4.80x Cost of type B coffee (155-x)5.85 Since total cost is S845.85, 4.80x +(155 -x)5.85 = 845.85

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Step 2

Simplify the equation to find t...

4.80x+155-x)5.85 845.85
4.80x 906.75 - 5.85x = 845.85
-1.05x 906.75 845.85
1.05x 906.75- 845.85
1.05x 60.9
x = 58
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4.80x+155-x)5.85 845.85 4.80x 906.75 - 5.85x = 845.85 -1.05x 906.75 845.85 1.05x 906.75- 845.85 1.05x 60.9 x = 58

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