Answer:
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.
