MATH SOLVE

4 months ago

Q:
# Jen, carrie, and fran are each thinking of a number. when you add their numbers together you get 207. jen's number is 9 more than carrie's, and fran's number is 3 less than jen's number. what is fran's number?

Accepted Solution

A:

Jen, carrie, and fran are each thinking of a number. Let the number Jen thinks is JLet the number Carrie thinks is CLet the number Fran thinks is F when you add their numbers together you get 207so J + C + F = 207 -------------> Equation 1jen's number is 9 more than carrie'sSo J = 9 + C -------------> Equation 2and fran's number is 3 less than jen's numberSo F = J - 3 Replace 9 + C for JF= 9 + C - 3 = 6 + C ------------> Equation 3Replace equation 2 & 3 in equation 1J + C + F = 2079 + C + C + 6 + C = 2073C + 15 = 2073C = 192Divide by 3 on both sidesC = 64We know F = 6 + C = 6 + 64 = 70So Fran's number = 70