a chef bought $17.01 worth of ribs and chicken. ribs cost 1.89 per pound and chicken costs 0.90 per pound…

a chef bought $17.01 worth of ribs and chicken. ribs cost 1.89 per pound and chicken costs 0.90 per pound. the equation 0.9c + 1.89r = 17.01 represents the relationship between the quantities in this situation. using the table, show step - by - step that c = 18.9 - 2.1r is equivalent to 0.9c + 1.89r = 17.01. then, explain when it might be helpful to write the equation solving for c. 0.9c + 1.89r = 17.01 given c = 18.9 - 2.1r solution

a chef bought $17.01 worth of ribs and chicken. ribs cost 1.89 per pound and chicken costs 0.90 per pound. the equation 0.9c + 1.89r = 17.01 represents the relationship between the quantities in this situation. using the table, show step - by - step that c = 18.9 - 2.1r is equivalent to 0.9c + 1.89r = 17.01. then, explain when it might be helpful to write the equation solving for c. 0.9c + 1.89r = 17.01 given c = 18.9 - 2.1r solution

Answer

Explanation:

Step1: Subtract 1.89r from both sides

$0.9c+1.89r - 1.89r=17.01 - 1.89r$ $0.9c=17.01 - 1.89r$

Step2: Divide both sides by 0.9

$c=\frac{17.01 - 1.89r}{0.9}$

Step3: Simplify the right - hand side

$c=\frac{17.01}{0.9}-\frac{1.89r}{0.9}$ $c = 18.9-2.1r$

It is helpful to write the equation solving for c when you know the value of r and want to find the value of c directly. For example, if you have decided on the amount of ribs (r) you want to buy and want to figure out how much chicken (c) you can afford within the $17.01 budget.

Answer:

The steps above show the equivalence. It is helpful when r is known and c needs to be found.