MATH SOLVE

6 months ago

Q:
# Peter is 2 years older than Winnie. Peter's age is 16 years less than seven times Winnie's age. The equations below model the relationship between Peter's Age (p) and Winnie's age (w):p=w+2p=7w-16Which is a possible correct method to find Peter's and Winnie's ages?A. Solve w+2 = 7w-16 to find the value of wB. Solve p+2 =7p-16 to find the value of pC. Write the points where the graphs of the equations intersect the x axisD. Write the points where the graphs of the equations intersect the y axis

Accepted Solution

A:

Given equations:

P=w+2

p=7w-16

Compare both equations

7w-16=w+2

Add 16 to both sides.

7w=w+18

Subtract w from both sides.

6w=18

Divide both sides by 6.

w=3, which is the age of Winnie.

Now Peter's age=3+2=5 years

Option A is the correct method to find the age of Peter and Winnie.

P=w+2

p=7w-16

Compare both equations

7w-16=w+2

Add 16 to both sides.

7w=w+18

Subtract w from both sides.

6w=18

Divide both sides by 6.

w=3, which is the age of Winnie.

Now Peter's age=3+2=5 years

Option A is the correct method to find the age of Peter and Winnie.