Last month a museum received €21000 in donations.After taking off the cost of monthly bills,,the museum spent the remaining money on new exhibitions.The ratio of bills to donations was 5:14.How much did they spend on new exhibitions

Respuesta :

Answer:

$13,500.

Step-by-step explanation:

Let x represent money spent on monthly bills.

We have been given that last month a museum received €21000 in donations. The ratio of bills to donations was 5:14.

We will use proportions to solve our given problem.

[tex]\frac{\text{Bills}}{\text{Donations}}=\frac{5}{14}[/tex]

[tex]\frac{x}{21000}=\frac{5}{14}[/tex]  

[tex]\frac{x}{21000}*21000=\frac{5}{14}*21000[/tex]

[tex]x=5*1500[/tex]

[tex]x=7500[/tex]

Now, we will subtract $7500 from donations to find the amount spent on new exhibitions as:

[tex]\$21,000-\$7500=\$13,500[/tex]

Therefore, they spent $13,500 on new exhibitions.