Ann increased the quantity of all the ingredients in a recipe by 60%. she used 80 grams (g) of cheese. how much cheese did the recipe require?

Answer : The amount of cheese required in recipe will be, 50 grams.

Step-by-step explanation :

Let the amount of cheese required in recipe be, X grams.

As per question, when the quantity of all the ingredients in a recipe increased by 60% then total amount of cheese used in the recipe will be:

As we are given that the total amount of cheese used is 80 grams. So, the equation will be:

By solving the term, we get:

Therefore, the amount of cheese required in recipe will be, 50 grams.

system of linear equation

step-by-step explanation:

as given in the data

a= 20 , b= -12

let us suppose that it is a straight line equation

now we know the formula for the system of linear equation

b= ma + c )

here m is slope of a straight line which is equal to formula

m=   (ii)

and here c is a constant

now putting the value of a and b in equation (ii)

m=

m=

putting the value of a,b and m in equation (i) gives us

-12 = + c

-12=-12 + c

adding 12 to both sides

-12 +12 = -12 +12 +c

0 =c

or c=0

as the value of the constant is zero which gives us that it is a linear equation and this order pair satisfies the system of linear equations.