Question

Linear Equations in One Variable

Translate Word Problems into System of Equations


Eight boys rented a motor boat for their outing to puerto galera
. three of them backed out at the last minute. As a result
each of the remaining five boys had to pay off 90$ more that they had expected to pay
how much was the rental of the boat?

Answer 1

Let x be the portion of the rent for each boy and rent be the rent.
Solve the following for x and rent.
\[\{8x=\text{rent},5(x+90)=\text{rent}\} \]{rent = 1200, x = 150}

Answer 2

thanks rob, but how did you get it?

Answer 3

im trying to find out how to solve this because i miss this lesson earlier.

Answer 4

Are you unsure how to set up the equations or solve them?

Thank you for the medal by the way.

Answer 5

8x=5(x+90)
Can you solve the above for x?

Answer 6

8x=5x-450
x-5x=450-8? im not sure.

Answer 7

8x=5(x+90)
8x=5x+450
3x=450
x=150

Answer 8

o i get it now.

Answer 9

how about the 1200?

Answer 10

150x8?

Answer 11

8x=rent
8*150=rent
1200=rent

Answer 12

That all there is.
Actually, I love word problems.

Answer 13

ok ill pm you if i need help thanks rob.

Answer 14

Have a good day.

Answer 15

yes you too

Answer 16

rob may i ask last question how did 3 become x?

3x=450
x=150

Answer 17

there are some fundamental properties called identity and inverse

identity is such that a*id = a , id would have to be 1

inverse is such that a*in = 1 , in would have to be 1/a, given that a not equal 0

Answer 18

3x = 450 , the inverse of 3 is 1/3
/3 /3
----------
1x = 150 , 1x = x

x = 150

Answer 19

oh. thanks now i get it.

Answer 20

good luck ;)

Answer 21

thank you