Grandma baked 1.5 times as many pancakes as waffles. After she baked 45 more waffles, and her grandchildren ate 12 pancakes, there were 17 more waffles than pancakes. How many waffles were there initially? PLS HELP YOU WILL GET !!!

Step-by-step explanation:

let x represent the no of pancakes,

she baked 1.5 times pancakes more than waffles,

so from this, no of pancakes = 1.5x,

then she baked more 45 waffles,

no of waffles = (x +45)

so you had 1.5x pancakes and the children ate 12 out of them. the no of pancakes has then been reduced by 12.

thus, no of pancakes = ( 1.5x -12 )

now they see that they have 17 more waffles that pancakes left. this means that :

no of waffles - no of pancakes = 17

(x+45) - (1.5x - 12) = 17

x - 1.5x + 45 + 12 = 17

x = -50 / -0.5

x = 100

hence, there were 100 waffles initially.

hope you understand this,

-s.

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.