Question

Tomas is making trail mix using granola and walnuts. He can spend a total of $12 on the ingredients. He buys 3 pounds of granola that costs $2.00 per pound. The walnuts cost $6 per pound. He uses the equation to represent the total cost, where x represents the number of pounds of granola and y represents the number of pounds of walnuts. He solves the equation for y, the number of pounds of walnuts he can buy.
Answer- B Tomas added 6 to both sides of the equation instead of subtracting 6.
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Answer 1

The equation which best represents this scenario and is solved for y, the number of pounds of walnuts he can buy, is $y = \frac{12.00 - 6.00}{6.00}$. Tomas buys 1 pound of walnuts. He can spend a total of $12.00. Since he bought 3 pounds of granola for $2.00 a pound, subtract $6.00 from $12.00. Walnuts costs $6.00 a pound. Divide the remainder by $6.00 to find the number of pounds he can buy. This scenario can be solved using logic like above or with a two variable equation.

Further Explanation

Logically using each of the details of the problem gives the following calculations:

• Unknown number of walnuts at $6.00 per pound

• 3 pounds of granola at $2.00 per pound of granola is a total of $6.00 spent
• Tomas can only spend a total of $12.00

This means Tomas has 12.00 - 6.00 = $6.00 left to purchase Walnuts. If Walnuts cost $6.00 a pound, then he can buy 1 pound. But this isn't the only way to find the number of pounds of walnuts.

You can also write a two variable equation where x represents the number of pounds of granola and y represents the number of pounds of walnuts. To write the equation, multiply each variable by its cost per pound. Granola that costs $2.00 per pound is 2x. Walnuts which costs $6.00 per pound is 6y. The total cost is put them together by adding, 2x + 6y = 12. An equation allows you to find out many possible solutions for Tomas' shopping trip. Because he already bought 3 pounds of granola, there is only one solution for y.

$2x + 6y = 12\\\\2(3) + 6y = 12\\\\6 + 6y = 12\\\\6 - 6 + 6y = 12 - 6\\\\6y = 6\\\\\frac{6y}{6} = \frac{6}{6}\\\\y = 1$

Learn More

• Writing a Linear Equation: brainly.com/question/1335723
• Solving Linear Equations Application Example: brainly.com/question/2918588

Answer Details

Grade: Middle School

Subject: Algebra 1

Chapter: Solving Linear Equations

Keywords: linear, variable, per pound, unit rate, function, solving equations

Answer 2

Not really sure what you are looking for, but this is how to solve equations such as these.

Let:

x = number of pounds of granola

y = numer of pounds of walnuts

The equation he can use to compute the total cost would be:

$2.00x + $6.00y = $12.00

We know that he bought 3 pounds of granola, so we plug in that for the x value:

$2.00(3) + $6.00y = $12.00

$6.00 + $6.00y = $12.00

To isolate the unknown value which is y, we first need to subtract $6.00 from both sides of the equation:

$6.00 + $6.00y - $6.00 = $12.00 - $6.00

$6.00y = $6.00

Then we divide both sides by $6.00:

$6.00y/$6.00 = $6.00/$6.00

y = 1

So the number of bags of walnuts he can buy is 1 bag.