-
A salesman sold twice as much pears in the afternoon than in the morning. If he sold 360 kilograms of pears that day, how many kilograms did he sell in the morning and how many in the afternoon?
Let x be the number of kilograms he sold in the morning.Then in the afternoon he sold 2x2x kilograms. So, the total is x+2x=3xx+2x=3x. This must be equal to 360.
3x=3603x=360
x=3603x=3360?
x=120x=120
Therefore, the salesman sold 120 kg in the morning and 2⋅120=2402⋅120=240 kg in the afternoon.
-
Mary, Peter, and Lucy were picking chestnuts. Mary picked twice as much chestnuts than Peter. Lucy picked 2 kg more than Peter. Together the three of them picked 26 kg of chestnuts. How many kilograms did each of them pick?
Let x be the amount Peter picked. Then Mary and Lucy picked 2x and x+2x+2, respectively. So
x+2x+x+2=26x+2x+x+2=26
4x=244x=24
x=6x=6
Therefore, Peter, Mary, and Lucy picked 6, 12, and 8 kg, respectively.
-
A student chose a number, multiplied it by 2, then subtracted 138 from the result and got 102. What was the number he chose?
Let x be the number he chose, then
2⋅x−138=1022⋅x−138=102
2x=2402x=240
x=120x=120
