Ms. Jeffers is splitting $975 among her three sons. If the oldest gets twice as much as the youngest

Ms. Jeffers is splitting $975 among her three sons. If the oldest gets twice as much as the youngest and the middle son gets $35 more than the youngest, how much does each boy get?


Let 0 be the oldest son, m be the middle sun, and y be the youngest son. Set up our given equations

• o = 2y
• m = y + 35
• o + m + y = 975

Substitute the first and second equations into Equation 3
2y + y + 35 + y = 975

Combine the y terms
4y + 35 = 975

Subtract 35 using our equation calculator to solve and get y = 235

Plug y = 235 into equation 2
m = 235 + 35
m = 270

Plug y = 235 into equation 2
o = 2(235)
o = 470