Ben, sean, alexis and samantha divide a $47 so that ben and sean together got $27, ben and alexis got $25, and ben and samantha got $23. How much did alexis get?

Answer:$11Step-by-step explanation:Let Ben has b,sean has salexis has asamantha has sMoney.We need to write the words into equations and solve as we can.b + s + a + s = 47b + s = 27b + a = 25b + s = 23We need to find a.Let's put 2nd equation in first, to get:27 + a + s = 47a + s = 20 ---------- 5th equationNow let's solve 4th equation for b and put it into 3rd equation:b + s = 23b = 23 - sPutting in 3rd equation:23 - s + a = 25a - s = 2 ---------------6th equationNow, add up 5th and 6th equation to get a:a + s = 20a - s = 2-------------2a = 22a = 22/2 = 11Alexis got $11