Suppose your class sells gift wrap for $4 per package and greeting cards for $10 per package. Your class sells 225 packages in all and receives a total of $1164. Find the number of packages of gift wrap and greeting cards sold.

The number of packages of gift wrap and greeting cards sold is 181 and 44 respectively

Step-by-step explanation:

The computation of the number of packages of gift wrap and greeting cards sold is as follows:

Let us assume the number of packages of gift wrap be x

And, for greeting cards be y

The equation are as follows

x + y = 225 (1)

We can write as

y = 225 - x

4x + 10y = $1,164 (2)

Now put the y value in the equation 2

4x + 10 (225 - x) = $1,164

4x + $2,250 - 10x = $1,164

-6x = $1,164 - $2,250

-6x = -$1,086

x = 181

And, y = 225 - 181

= 44

b

step-by-step explanation:

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)