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In a recent year, the total sales at restaurant A were $25,000 more than at restaurant B. The...

Question:

In a recent year, the total sales at restaurant A were {eq}$25,000 {/eq} more than at restaurant B. The total sales at the two stores were {eq}$500,000,000 {/eq}.

What were the sales for the year at each store?

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 take the sales of restaurant B and restaurant A as {eq}s {/eq} and {eq}s +25000 {/eq} respectively.

Total sale of the restaurants is {eq}$500,000,000 {/eq}

$$Total\ Sales = Sales_a + Sales_b $$

$$500,000,000 =s + s +25000 $$

$$500,000,000 - 25000 =2s $$

$$499975000 =2s $$

$$249987500 =s $$

Sales of Restaurant B is {eq}$249,987,500 {/eq} and that of Restaurant A is {eq}$250,012,500. {/eq}


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