Set up an equation, and solve the problem. A sum of $1400 is to be divided between two people in the ratio of 35. How much does each person receive?

Question

Nathalie Redfern · Accepted Answer

Step 1 An equation consists an equal symbol between two algebraic expressions that have the same value. The common algebraic equations in math consist of one or more variables. The solution for the variable should satisfy the equation. Step 2 The given sum of $1400 is divided between two persons in the ratio 35. It means that the ratio of amount of two persons is equal to 35 . If let the amount of first person is 3x, then the amount for other person should be 5x as the ratio should be equal to 35. Then equate the sum to $1400 and then find the amounts of each person as follows; 35=3xy ..................... Let first perso&#039;s amount is 3x and find second person&#039;s amount in terms of x. 53×35=53×3xy ......................... Multiply both sides with 53. 1=5xy y=5x. 3x+5x=$1400 ....................... Equate given sum. 8x=$1400 x=$14008 ........................... Divide both sides by 8. =$175 3x=3×175 ............................... Substitute x=$175. =$525 5x=5×175 =$875 Hence, the each person ed in the question will receive $525 and $875.

Set up an equation, and solve the problem. A sum of $1400 is to be divided betwe

Answered question

Answer & Explanation

New Questions in Other