ice cream beans are selling for $10 per pound and durians are selling for $9 per pound. If the market sold a total of $196 worth of durians and ice cream beans yesterday, and it sold 11 pounds of durian, which of the following is a good estimation of the total pounds of ice cream bean sold?

Respuesta :

[196-(11*9)]/10=9.7 pounds

Answer:

A good estimation would be 10 pounds.

Step-by-step explanation:

Givens

  • Ice cream beans costs $10 per pound.
  • Durians costs $9 per pound.
  • The market sold a total of $196 worth of durians and ice cream beans.
  • The market sold 11 pounds of durian.

Let's be [tex]b[/tex] ice cream beans and [tex]d[/tex] durians.

The problem can be modeled by the equation

[tex]10b+9d=196[/tex]

Where [tex]d=11[/tex]

Then, we solve for [tex]b[/tex]

[tex]10b+9(11)=196\\10b+99=196\\10b=196-99\\b=\frac{97}{10} \\b = 9.7[/tex]

Therefore, the market sold 9.7 pounds of ice cream beans. So, a good estimation would 10 pounds.