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 2x+6y=12 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.
2x+6y=12
2(3) + 5y = 12
6+by+6=12+6
by = 18
y = 3
Which is the first error that Tomas made?
Tomas substituted the 3 for x when he should have substituted 6 for X.
Tomas added 6 to both sides of the equation instead of subtracting 6.
Tomas should have written the equation as 3x+6y=12.
Tomas substituted 3 for x when he should have substituted 3 for y.

Answer 1

B.

Explanation:

Answer 2

The first error that Tomas made was added 6 to both sides of the equation instead of subtracting 6

Explanation:

Let

x ----> represents the number of pounds of granola

y ----> represents the number of pounds of walnuts

we know that

The linear equation that represent this scenario is

2x+6y=12 -----> equation A

x=3 -----> equation B

substitute equation B in equation A and solve for y

2(3)+6y=12

6+6y=12

Subtract 6 both sides

6+6y-6=12-6

6y=6

Divide by 6 both sides

6y/6=6/6

y=1

so

The number of pounds of walnuts is 1

therefore

The first error that Tomas made was added 6 to both sides of the equation instead of subtracting 6