An artist is hired to create an art display for the interior of a city building. The display is to span a total width of
10
yd
. The artist decides to cover this space with equally sized portraits placed side-by-side in a horizontal line with no gaps. Each portrait has a width of
45
in
. How many portraits will be used in the display?
First fill in the blanks on the left side of the equation using three of the ratios shown. Then write your answer on the right side of the equation.
Ratios: 3ft1yd 1yd3ft 1ft12in 12in1ft 45in1portrait 1portrait45in
10yd1
×
×
×
=
portraits
portrait
We can use the ratio 1yd = 3ft to convert 10 yd to feet:
10 yd × 3 ft/1 yd = 30 ft
Then we can use the ratio 1ft = 12in to convert the width of each portrait from inches to feet:
45 in × 1 ft/12 in = 3.75 ft
Now we can divide the total width of 30 ft by the width of each portrait (3.75 ft) to find the number of portraits:
30 ft ÷ 3.75 ft/portrait = 8 portraits
Therefore, the artist will use 8 portraits in the display.
Ratios: 3ft/1yd, 1yd/3ft, 1ft/12in, 12in/1ft, 45in/1portrait, 1portrait/45in
To find out how many portraits will be used in the display, we need to convert the total width of 10 yards into inches.
So first, let's use the ratio 1yd/3ft to convert 10 yards into feet:
10yd * 3ft/1yd = 30ft.
Now, let's use the ratio 1ft/12in to convert 30 feet into inches:
30ft * 12in/1ft = 360in.
Now, we can use the ratio 1portrait/45in to find out how many portraits fit in the 360 inches:
360in * 1portrait/45in = 8 portraits.
Therefore, 8 portraits will be used in the display.