A museum has 50 pieces of art to display in an exhibit. Of these, 11 are photos and 39 are color paintings. The manager wants to add more photos so they represent 25% of the pieces of art at the museum.
Write and solve an equation to determine the number of photos to be added. Then, determine the total number of pieces of art in the exhibit.
Answer (2)
The equation would be: (50+x)/4 = 11+ x, where x equals the number of added photos The equation is saying that you currently have 50 pieces of art. When you add x photos, one-fourth of the new total number of pieces of art ( (50+x)/4 ) is equal to the 11 original photos plus the x that you add ( The new total number of photos is represented as 11+x). Cross multiply and solve to get x = 2. Therefore, 2 photos must be added, and the total number of pieces of art is 50 + 2 = 52 pieces of art.
The museum needs to add 2 photos to have the photos represent 25% of the total number of art pieces. After adding the photos, the total number of pieces of art in the exhibit will be 52. This is calculated by solving the equation 50 + x 11 + x = 0.25 .
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