Answer :
Answer:
$75000
Step-by-step explanation:
GIVEN: A bank lent [tex]\$200500[/tex] for the development of two products . If the loan for product X was for [tex]\$50500[/tex] more than that for product Y.
TO FIND: how much was lent for product y.
SOLUTION
Let the amount lent for product X be [tex]a[/tex] and Y be [tex]b[/tex]
According to the question
Total amount lent [tex]=\$200500[/tex]
[tex]\therefore[/tex] [tex]a+b=200500[/tex]
also, the loan for product X was [tex]\$50500[/tex] more than Y
[tex]\therefore[/tex] [tex]a-b=50500[/tex]
Solving both equations we get
[tex]a=\$125500[/tex]
Similarly, [tex]b=\$75000[/tex]
Hence $75000 was lent for product Y.