A bank lent $200,500 for the development of two products. If the loan for priduct X was for $50,500 more than that for product Y, how much was lent for product Y​

Respuesta :

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]