James and Kathryn together had $190 in a savings bank. The amount in James's account was $30 more than 3 times the amount in Katherine's account. How much had each?

1 Answer
Apr 16, 2018

Kathyrn had #40# dollars
James had #150# dollars

Explanation:

Let #J# be James's amount
Let #K# be Kathyrn's amount

#J+K= 190#
#J= 3K+30#

To Solve substitute for J in the first equation:
#(3K+30)+K=190#
#4K+30=190#
#4K=160#
#K=40# dollars

To solve for J substitute K into the first equation:
#J+40=190#
#J=150# dollars