Ariana plans to use $260 less than three-fourths of savings to buy a car. If the purchase price of the car is 9,340, how much does she have in savings?

Respuesta :

She has $12,488 in savings

Step-by-step explanation:

Ariana plans to use $260 less than three-fourths of savings to buy a car.

If the purchase price of the car is 9,340, we need to find how much

she has in savings

To find the savings

  • Assume that she has $x in savings
  • Write an equation of x
  • Solve the equation to find x

∵ She has $x in savings

∵ She plans to use $260 less than three-fourths of savings

- Three-fourths means [tex]\frac{3}{4}[/tex] and less than means subtract

∴ She plans to use [tex]\frac{3}{4}[/tex] x - 26

∵ The purchase price of the car is 9,340

- Equate the expression of x by 9,340

∴ [tex]\frac{3}{4}[/tex] x - 26 = 9,340

Now let us solve the equation

∵ [tex]\frac{3}{4}[/tex] x - 26 = 9,340

- Add 26 to both sides

∴ [tex]\frac{3}{4}[/tex] x = 9,366

- Divide both sides by [tex]\frac{3}{4}[/tex]

∴ x = $12,488

She has $12,488 in savings

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