each one gets 2 and their will be 4 slices left
Answer:
Father's age = 48
Daughter's age = 24
Step-by-step explanation:
Let x be father's age and y be daughter's age.
1st equation:
x = 2y
2nd equation:
(x - 16) = 4(y - 16)
Replacing value of x from 1st equation,
(2y - 16) = 4(y - 16)
2y - 16 = 4y - 64
4y - 2y = 64 - 16
2y = 48
y = 48/2
y = 24
And,
x = 2y
x = 2 x 24
x = 48
8x - x = 64 - 16
7x = 48
First, write an equation system based on the problem
An equation for "the perimeter of a rectangle is 70 in" can be written as following
∴ 2l + 2w = 70 <em>(first equation)</em>
An equation for "the length is 11 in more than its width" can be written as following
∴ l = w + 11 <em>(second equation)</em>
Second, solve the equation by substitution method o find the dimension of the rectangle.
Substitute/plug l as (w+11) into the first equation
2l + 2w = 70
2(w + 11) + 2w = 70
2w + 22 + 2w = 70
4w + 22 = 70
4w = 70 - 22
4w = 48
w = 48/4
w = 12
The width of the rectangle is 12 in
Substitute w with 12 to the second equation
l = w + 11
l = 12 + 11
l = 23
The length of the rectangle is 23 in
Third, find the area of the rectangle
a = l × w
a = 23 × 12
a = 276
The area of the rectangle is 276 in²
Answer:
yeah
Step-by-step explanation:
