Question

Wilson is 6 years older than Mary. Wilsons age is 10 years less than five times Mary's age. The equations below model the relationship between Wilsons age (w) and Mary's age (m) :

w=m+6
w=5m-10

Which is a possible correct method to find Wilson's and Mary's ages?

a) Solve w+6=5w-10 to find the value of w.
b)Write the points where the graphs of the equations intersect the x axis.
c) Solve m+6+5m-10 to find the value of m.
d)Write the points where the graphs of the equations intersect the y axis.

Answer 1

c is the correct answer

Answer 2

c) Solve m+6+5m-10 to find the value of m.

Explanation:

Given information is :

Wilson is 6 years older than Mary.

Wilson's age is 10 years less than five times Mary's age.

The equations that model the relationship between Wilson's age (w) and Mary's age (m) are :

`w=m+6`

`w=5m-10`

Now we will solve this by setting them equal to each other since both equal 'w'

`m+6=w=5m-10`

`m+6=5m-10`

Clubbing the like terms together:

`5m-m=10+6`

`4m=16`

Dividing both sides by 4:

`m=4`

And w=m+6

so,
`w=4+6=10`

Hence, Wilson is 10 years old and Mary is 4 years old.

So, C can be the answer. But it should have been
`m+6=5m-10` just like option A. There is a writing error but we can consider option C.