Question

The monthly pocket money of Ravi and
Sanjeev are in the ratio 5 : 7. Their
expenditures are in the ratio 3 : 5. If each
saves $80 every month, find their monthly
pocket money.​

Answer 1

Answer:

Monthly pocket money of Ravi = $200

Monthly pocket money of Sanjeev = $280

Step-by-step explanation:

Let the pocket money of Ravi = 5x

Let the pocket money of Sanjeev = 7x

Expenditure of Ravi = 3x

Expenditure of Sanjeev = 5x

Money saved by both = 2x

                 $80             = 2x

                   x                = 80/2

                                     = $40

So, the monthly pocket money of Ravi = 5x

                                                                = 5*40        

                                                                = $200

The pocket money of Sanjeev = 7x

                                                   = 7*40

                                                   = $280                                                

Answer 2

Answer:

• $ 400
• $ 280

Step-by-step explanation:

Given

• Monthly pocket money of Ravi and Sanjeev are in the ratio 5 : 7.
• Their expenditures are in the ratio 3 : 5.
• If each saves $80 every month.

To find

• Their monthly pocket money.

Solution

Let the monthly pocket money of Ravi be $ 5x.

and the monthly pocket money of Sanjeev be $ 7x.

Then, their monthly expenditures be $ 3y and $ 5y.

Then, their savings will be,

• monthly pocket money - expenditure

Ravi's savings will be $ (5x - 3y)

Sanjeev's savings will be $ (7x - 5y)

But in the question it's given that they both save $ 80 every month.

So,

• 5x - 3y = 80 - (I) × 5
• 7x - 5y = 80 - (II) × 3

Multiply (I) by 5 and (II) by 3 and then subtract,

• (25x - 21x) = (400 - 240)
• 4x = 160
• x = 160/40
• x = 40

Hence, the monthly pocket money of,

• Ravi = $ 5x = $ 400
• Sanjeev = $ 7x = $ 280