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An art exhibition contains paintings, sculptures, and drawings. 1/4 of the works on display are sculptures, 2/5 are paintings, and the remainder are drawings. What fraction of the work on display are drawings?

Respuesta :

calculista

Answer:

The fraction of the work that are drawings is [tex]\frac{7}{20}[/tex]

Step-by-step explanation:

we have that

100%=100/100=1

we know that

The sum of the fractions of the works must be equal to 1

Let

x -----> the fraction of the work that are drawings

so

[tex]1=\frac{1}{4}+\frac{2}{5}+x[/tex]

Solve for x

[tex]1=\frac{13}{20}+x[/tex]

Subtract 13/30 both sides

[tex]x=1-\frac{13}{20}[/tex]

[tex]x=\frac{7}{20}[/tex]

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