Answer:
$75,000
Step-by-step explanation:
Let
x ----> amount lent for product X
y ---->amount lent for product Y
we know that
A bank lent $200,500 for the development of two products
so
[tex]x+y=200,500[/tex] ----> equation A
The loan for product X was for $50,500 more than that for product Y
so
[tex]x=y+50,500[/tex] ----> equation B
substitute equation B in equation A
[tex]y+50,500+y=200,500[/tex]
solve for y
[tex]2y=200,500-50,500\\2y=150,000\\y=\$75,000[/tex]