Respuesta :
Answer:
Josh sold 16 books and Jessica sold 240 books
Step-by-step explanation:
Given: Jessica sold 15 times more books than Josh.
Together they sold 256 books
To Find : How many did each one of them sell?
Solution:
Let Jessica sold x books
Let Josh sold y books.
Since we are given that Jessica sold 15 times more books than Josh.
⇒x=15y --a
We are also given that Together they sold 256 books.
⇒x+y=256 --b
Using substitution method
Put value of x from equation a in equation b
⇒15y+y=256
⇒16y=256
⇒[tex]y=\frac{256}{16}[/tex]
⇒[tex]y=16[/tex]
Thus Josh sold 16 books
Jessica sold books = 15y = 15*16=240
Hence Josh sold 16 books and Jessica sold 240 books
Jessica sold 240 books and Josh sold 16 books.
Data;
let
- Jessica = y
- Josh = x
Equation
To solve this word problem, we have to write an equation to represent how much they sold are
[tex]y = 15x...equation (i)\\x+y = 256 ... equation (ii)[/tex]
From the equation above, put equation (i) into equation (ii)
[tex]x+y=256\\y = 15x\\x+15x = 256\\16x = 256\\\frac{16x}{16} = \frac{256}{16}\\ x= 16[/tex]
from equation (i)
[tex]y = 15x\\y = 15 * 16 = 240[/tex]
From the calculations above, Jessica sold 240 books and Josh sold 16 books.
Learn more on word problems here;
https://brainly.com/question/21405634
