Question

In January, Alison, Bryan and Carly spent a total of $1510. In February, Alison increased her spending by $140. Bryan doubled his spending and Carly reduced her spending by $150. The amount of money they each spent then became the same. If Alison saved $1850 in January, find the total amount of money she had in January at first.

Answer 1

If Alison saved $1850 in January, the total amount of money she used in January is $1510+$1850 = $<<1850+1510=3360>>3360
In February, Alison spent $140 more than she spent in January, meaning she spent $1510+$140 = $<<1510+140=1650>>1650 in February.
Bryan spent twice as much money in February as in January, a total of $1510*2 = $3020
Carly spent $150 less in February than in January, meaning she spent $1510-$150 = $1360 in February.
Since the amount of money they each used in February was equal, and Carly used $1360, Alison used $1650 and Bryan used $3020, the total amount of money they used in February is $1360+$1650+$3020 = <<1360+1650+3020=6030>>6030
Together, in January and February, Alison used $1650+$3360 = $<<1650+3360=5010>>5010.
The total amount of money she used in January and February is $6030, meaning Alison had $$6030-$5010 = $<<6030-5010=1020>>1020 in January. Answer: \boxed{1020}.