Question

Create a word problem that matches this system of equations:
X+y=15
4x+10y=120

Answer 1

see the explanation

Explanation:

The word problem could be

The sum of the ages of John and Mary is equal to 15 years.

If we multiply John's age by four and add 10 times Maria's age, the total number of years is 120.

Find the age of John and Mary

Let

x ---> John's age

y ---> Mary's age

we know that

`x+y=15` ----> equation A

`4x+10y=120` ----> equation B

Solve the system of equations by graphing

Remember that

The solution of the system of equations is the intersection point both graphs

using a graphing tool

The solution is the point (5,10)

see the attached figure

therefore

John's age is 5 and Mary's age is 10