Question

HELP

A zoo train ride costs $3 per adult and $1 per child. On a certain day, the total number of adults (a) and children (c) who took the ride was 30, and the total money collected was $50. What was the number of children and the number of adults who took the train ride that day, and which pair of equations can be solved to find the numbers?

Answer 1

@joeycoulter76 @JoannaBlackwelder @MiningProMC @beezle1197 @ospreytriple

Answer 2

ANSWER CHOICES

20 children and 10 adults
Equation 1: a + c = 30
Equation 2: 3a + c = 50
10 children and 20 adults
Equation 1: a + c = 30
Equation 2: 3a − c = 50
20 children and 10 adults
Equation 1: a + c = 30
Equation 2: 3a − c = 50
10 children and 20 adults
Equation 1: a + c = 30
Equation 2: 3a + c = 50

Answer 3

total of adults and children was 30 : a + c = 30
$3 per adult, $1 per child....total of $50 : 3a + c = 50

a + c = 30
a = 30 - c -- now sub 30 - c in for a in the other equation

3a + c = 50
3(30 - c) + c = 50 -- distribute through the parenthesis
90 - 3c + c = 50 -- subtract 90 from both sides
-3c + c = 50 - 90 -- simplify
-2c = - 40 -- divide both sides by -2
c = 20

a + c = 30
a + 20 = 30
a = 30 - 20
a = 10

so there are 20 children and 10 adults

Answer 4

so a or c?

Answer 5

A

Answer 6

thank u, can u do another plz

Answer 7

what ya got ?

Answer 8

No direct answers, please.

Answer 9

How many solutions are there to the given set of equations?

Equation C: y = 3x + 7
Equation D: y = 3x + 2

How many solutions are there to the given set of equations?

One solution
Two solutions
Infinitely many solutions
No solution

Answer 10

ok...lets do this one together

y = 3x + 7......so sub in 3x + 7 for y in the other equation

3x + 7 = 3x + 2
now do you know how to solve for y ??

Answer 11

im not super sure

Answer 12

ooops...I mean for x

Answer 13

3x + 7 = 3x + 2 --- subtract 7 from both sides
3x + 7 - 7 = 3x + 2 - 7 -- simplify
3x = 3x - 5 -- now subtract 3x from both sides
3x - 3x = 3x - 3x - 5 -- simplify
0 = -5
now...is that correct ? Does 0 = -5 ??

Answer 14

yes?

Answer 15

no.....0 does not equal -5....therefore, there are no solutions to this problem

Answer 16

ohh duh i see now, thank u

Answer 17

sure thing :)