A museum charges $12.50 for a one-day youth admission and $17.50 for a one-day adult admission. One Friday, the museum collected $1485 from a total of 106 youths and adults. How many admissions of each type were sold?
UZE

number of youth admissions sold (x) = 74

number of adult admissions sold (y) = 32

Step-by-step explanation:

Let x = number of youth admissions

Let y = number of adult admissions

Given:

⇒ x + y = 106

Given:

⇒ 12.5x + 17.5y = 1485

Rewrite  x + y = 106 to make y the subject:

⇒ y = 106 - x

Substitute  y = 106 - x  into 12.5x + 17.5y = 1485 and solve for x:

⇒ 12.5x + 17.5(106 - x) = 1485

⇒ 12.5x + 1855 - 17.5x = 1485

⇒ 5x = 370

⇒ x = 74

Substitute found value of x into y = 106 - x to find y:

⇒ y = 106 - 74

⇒ y = 32

step-by-step explanation:

the original amount doesn't ''re just looking for the time it takes for 1/2 of the substance to we have

(1/2) =)     take the ln   of both sides

ln (1/2)   = )   and we can write

ln(1/2) = ) lne     and lne   = 1     so we have

ln(1/2) = -.1092t     divide both sides by -.1092

t = ln(1/2)/-.1092 = about 6.347 days = about 6.3 days (rounded)

rick has $1400 and sally has $1500

step-by-step explanation:

to find amount of money rick has after 10 years :

principal = $1000 , time = 10 years , rate = 4% annually

to find amount of money sally has after 10 years :

her friend gives to pay her $50 per year, therefore money she has after 10 years = 50 × 10 = $500

also, sally gets $1000 after 10 years,

therefore, total amount of money sally has after 10 years = 500 + 1000 = $1500

so, after 10 years : rick has $1400 and sally has $1500