How much did they spend on each day?

Question

Steve and sherry travelled to the outlet mall in Michigan city for a three day shopping extravaganza. On the second day of shopping they realized they spent $120 more than the first day. The third days total was twice as much as the first days total. The three day total was $1320. How much did they spend on each day?

Answer 1

Hello Paige

 

Let x = the 1st day, y = the 2nd day and z = the 3rd day

 

Eq 1) On the second day of shopping they realized they spent $120 more than the first day..... y = x + 120

 

Eq 2)  The third days total was twice as much as the first days total............ z = 2x

 

Eq 3)  The three day total was $1320.......... x + y + z = 1,320

 

Substitute Eq 1) and Eq 2) into Eq 3), you get

 

x + (x + 120) + (2x) = 1,320

 

4x + 120 = 1,320

 

4x = 1,320 - 120

 

4x = 1,200

 

x = 1,200 / 4 = 300

 

y = 120 + x = 120 + 300 = 420

 

z = 2x = 2(300) = 600

 

 

x = 1st day = $300

 

y = 2nd day = $420

 

z = 3rd day = $600