Question

Rory's number is 0.3 larger than Lori's number, and the sum of their numbers is 13. What is ten times Lori's number multiplied by 2016?

Answer 1

128,016

Explanation:

Let

x ----> Rory's number

y ----> Lori's number

we know that

Rory's number is 0.3 larger than Lori's number

so

`x=y+0.3` ---> equation A

The sum of their numbers is 13

so

`x+y=13` ----> equation B

Solve the system by substitution

substitute equation A in equation B

`(y+0.3)+y=13`

solve for y

`2y+0.3=13\\2y=13-0.3\\2y=12.7\\y=6.35`

therefore

Lori's number is 6.35

What is ten times Lori's number multiplied by 2016

The algebraic expression is

`10y(2016)`

substitute the value of y

`10(6.35)(2016)=128,016`