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9) A notebook costs $3.50 and a binder costs $6.70. Jessica bought m binders. She also bought 4 fewernotebooks than binders. Write an algebraic expression for the total amount she spent.

Sagot :

Explanation:

We are told that a notebook costs $3.50 and a binder costs $6.70

If we represent the number of notebooks to be n and binders to be m

Also, we are told that she bought 4 fewer notebooks than binders

Then, we can say that

[tex]n=m-4[/tex]

The total amount spent can be obtained using the basic principle

[tex]Amount=cost\text{ per unit}\times quantity\text{ sold }[/tex]

Therefore

we have

[tex]Total\text{ Amount}=3.50(n)+6.70(m)[/tex]

But, we have established that n = m-4

Thus

[tex]Total\text{ amount =3.5\lparen m-4\rparen+6.7\lparen m\rparen}[/tex]

The total amount in terms of the binders will be

[tex]\begin{gathered} 3.5m-14+6.7m \\ 3.5m+6.7m-14 \\ 10.2m-14 \end{gathered}[/tex]

Thus,

we can also express the total amount in terms of the binders as

[tex]Total\text{ amount }=10.2m-14[/tex]

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