Question

The number of calories in a banana is 15 more than the number of calories in an orange. the product of the numbers is 6750. find the number of calories in the orange

Answer 1

Product= multiplication
x= orange calories
x+15= banana calories


x(x + 15)= 6750
multiply x by parentheses

(x*x) + (x*15)= 6750
multiply in parentheses

x^2 + 15x= 6750
subtract 6750 from both sides

x^2 + 15x - 6750= 0
factor

(x - 75)(x + 90)= 0
set each parentheses equal to 0

x - 75= 0
x= 75

x + 90= 0
x= -90


ANSWER: Since calories are positive in number, the number of calories in an orange are 75.

Hope this helps! :)