Mason used 1/6 of a gram of honey to make 1/12 of a pan of pudding. how many grams are needed to make a full pan of pudding?

so with 1/6 gram of honey you can make 1/12 pan of pudding

that means with 6/6 or 1 gram of honey you can make 6/12 pan of pudding

then 2 gram of honey is needed to make 12/12 or 1 full pan of pudding

2 grams

Step-by-step explanation:

Given,

Quantity of honey required for part of pudding = grams,

Since, total part of pudding = 1,

The number of parts in the pudding = 12,

So, the number of gram of honey needed for 1 full part of pudding = number of parts × honey required for part,

= 12 ×

=

= 2

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is