Deborah spent $70 on food and clothes. She spent $26 more on clothes than on food. On your worksheet, solve the question and write your answer below. How much did she spend on food and how much did she spend on clothes?

She spent $22 on food, and $48 on clothes.

Step-by-step explanation:

Let's define the variables:

C = amount of money that Deborah spent on clothes

F = amount of money that Deborah spent on food.

We know that she spent in total $70, then we have the equation:

F  + C = $70

And we know that she spent $26 more on clothes than on food, then we have the equation:

C = F + $26

This means that we have a system of equations:

F + C = $70

C = F + $26

To solve these type of systems, we usually start by isolating one variable in one of the equations. Here we can see that C is already isolated in the second equation.

Now we can replace it in the first equation.

F + (F + $26) = $70

Now we can solve this for F.

2*F + $26 = $70

2*F = $70 - $26 = $44

F = $44/2 = $22

So she spent $22 on food.

Now we can use the equation:

C = F + $26

To find how much she spent on clothes, where we need to replace F by the value we found.

C = $22 + $26 = $48

She spent $48 on clothes.

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be =.

y-intercept of dotted line is y=0 only.

plugging slope m= and b=0 in slope-intercept form y=mx+b, we get

.

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be =.

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be