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?

Question

Savannah Anderson · Accepted Answer

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

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

Jameson Allen · Answer

undefined Let's represent the amount in Kathryn's account as x dollars.

According to the information given, James's account had $30 more than 3 times the amount in Kathryn's account, which can be expressed as 3x + 30 dollars.

We know that together they had $190 in the savings bank, so the total amount can be represented as the sum of the amounts in their accounts, which is x + (3x + 30).

We can set up the equation:
x + (3x + 30) = 190

Solving this equation will give us the value of x, which represents the amount in Kathryn's account. Then, we can find James's amount by substituting the value of x into the expression 3x + 30.