Question

The triangular region shows the number of possible walnuts, x, and number of possible chocolate chips, y, a baker can use in a recipe.

Which combination of walnuts and chocolate chips can the baker use?

A. 33 walnuts and 25 chocolate chips

B. 45 walnuts and 10 chocolate chips

C. 28 walnuts and 20 chocolate chips

D. 55 walnuts and 12 chocolate chips

Answer 1

28 walnuts and 20 chocolate chips

Answer 2

Option: C is the correct answer.

C. 28 walnuts and 20 chocolate chips

Explanation:

The number of possible walnuts is denoted by x.

and the number of possible chocolate chips is denoted by y.

Now, based on the graph we observe that:

A)

33 walnuts and 25 chocolate chips

i.e. the point on the graph (33,25) lies outside the shaded region i.e. the feasible region.

Hence, it is not a possible solution.

B)

45 walnuts and 10 chocolate chips.

i.e. the point on the coordinate plane (45,10) also lie outside the shaded region and hence it could not be a possible solution to the problem.

D)

55 walnuts and 12 chocolate chips.

The point (55,12) lie outside the shaded region and hence is not a possible solution.

whereas the point (28,20) lie inside the shaded region and hence will be a solution to the given problem.

Hence, the answer is: Option: C

i.e. 28 walnuts and 20 chocolate chips .