Given the total width of the display space in yards and the width of each portrait in inches, we need to figure out how many portraits can fit side-by-side in the given space. Here's the step-by-step process:
1. Convert the total width of the display from yards to inches:
- The total width of the display is 16.5 yards.
- Since 1 yard is equal to 36 inches, we can convert the width as follows:
[tex]\[
\text{Total width in inches} = 16.5 \, \text{yards} \times 36 \, \text{inches per yard} = 594 \, \text{inches}
\][/tex]
2. Determine the width of each portrait in inches:
- Each portrait has a width of 54 inches.
3. Calculate the number of portraits that can fit in the total display width:
- To find out how many portraits fit, we use integer division because only whole portraits count:
[tex]\[
\text{Number of portraits} = \frac{\text{Total width in inches}}{\text{Width of each portrait}} = \frac{594 \, \text{inches}}{54 \, \text{inches}} = 11
\][/tex]
Therefore, the artist can use 11 portraits to cover the total width of the display space in the city building.
The equation filled with all necessary details:
[tex]\[
\frac{16.5 \, \text{yards} \times 36 \, \text{inches per yard}}{54 \, \text{inches}} = 11
\][/tex]
