1)tammy is making a poster. she had planned the poster to be 36 inches high and 24 inches wide. If she instead decides to make the poster 24 inches high, but keeps the same proportions, how wide will the poster be in inches?
my original answer was 12. But i tried again and i got 16. are any of these correct?
16 is correct.
I set up a proportion and cross multiplied.
24/36 * x/24
36x = 576
x = 16
36/24=24/x cross mulitply solve for x
i get 16
To find the width of the poster when it is 24 inches high, we need to keep the same proportions between the height and width.
Let's set up a proportion using the original dimensions of the poster:
height ratio = width ratio
36 inches / 24 inches = x inches / 24 inches
Simplifying the proportion:
1.5 = x / 24
To solve for x, we can multiply both sides of the equation by 24:
1.5 * 24 = x
36 = x
So, the width of the poster when it is 24 inches high will be 36 inches.
Therefore, neither 12 nor 16 are correct. The correct answer is 36 inches.