the circus admits children for $2 each and adults for $5 each. how many of each ticket were sold if 160 tickets were sold for $476

Children = 108

Adult = 52

Step-by-step explanation:

Let x = number of children

Let y = number of adult

Based on the information given, we can form an equation which will be:

x + y = 160 i

2x + 5y = 476 ii

Multiply equation i by 2

Multiply equation ii by 1

2x + 2y = 320 iii

2x + 5y = 476 iv

Subtract iii from iv

3y = 156

y = 52

Number of adults = 52

Since x + y = 160

x + 52 =160

x = 160 - 52

x = 108

Number of children = 108

b. 24 mm

step-by-step explanation:

use the pythagorean theorem.

a^2 + b^2 = c^2

a^2 + 7^2 = 25^2

a^2 + 49 = 625

a^2 = 576

a = 24

answer: b. 24 mm

d

step-by-step explanation: