****PLEASE HELP**** Meghan spends 25% more each year for auto insurance than Scott, and together they spend $1237.50 per year. How much does Meghan spend per year?

Respuesta :

Answer: Meghan spent $687.5 per year.

Step-by-step explanation:

Let x represent the amount of money that Scott spends per year for auto insurance.

Meghan spends 25% more each year for auto insurance than Scott. The value of 25% of the amount that Scott spends per year is

25/100 × x = 0.25 × x = 0.25x

Therefore, the amount that Meghan spends would be

x + 0.25x = 1.25x

If the amount that they spent together is $1237.50 per year, it means that

x + 1.25x = 1237.5

2.25x = 1237.5

x = 1237.5/2.25

x = 550

The amount that Meghan spent per year would be

1.25 × 550 = 687.5