A bank teller counts her $10 and $5 bills at the end of the day. The total value of the money is...

Question:

A bank teller counts her $10 and $5 bills at the end of the day. The total value of the money is $595. Let f represent the number of $5 bills. Write an equation that represents the total value of the money.

Algebraic equation word problems

An algebraic equation is formed when a relation between any variable is equated to a constant.

In the word problems of algebraic equation, this relation is given in statement and we need to form an algebraic equation out of it. Assuming a base variable and determining other unknowns in its term also helps in simplifying the equation.

For example: 4x +3y = 1 is an algebraic equation where x and y are variables and 1 is the equivalent constant of the relation shown in the equation.

Answer and Explanation:

Let us assume that {eq}t {/eq} and {eq}f {/eq} are the number of {eq}$10 {/eq} and {eq}$5 {/eq} bills.

Total values is {eq}$595. {/eq}

$$10t + 5f = 595 $$

Dividing equation by 5

$$2t + f = 119 $$

Equation for total value is {eq}2t + f = 119 {/eq}


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