Question 1190216: Antonio and Taylor are both selling cookie dough for a fundraiser. Although Antonio has already sold 6 tubs, Taylor hasn't sold any yet. If Antonio starts selling 1 tub per day and Taylor begins selling 3 tubs per day, they will eventually sell the same amount of cookie dough. How many tubs will each sell?
Answer by math_tutor2020(3817)   (Show Source):
You can put this solution on YOUR website!
x = number of days
Antonio has sold 6 tubs already.
He sells 1 per day, for x number of days, so he sells an additional 1*x = x tubs on top of the 6 already done.
x+6 = total amount Antonio has sold
Taylor sells 3x tubs total because they sell 3 per day, and they started off 0 sold already.
When will they sell the same amount? That happens when x = 3 as shown by the steps below
Antonio's amount = Taylor's amount
x+6 = 3x
6 = 3x-x
6 = 2x
2x = 6
x = 6/2
x = 3
Antonio's amount = x+6 = 3+6 = 9
Taylor's amount = 3x = 3*3 = 9
By day 3, each person has sold 9 tubs
If you wanted, you can make a table like this
| Day | Antonio | Taylor | | 0 | 6 | 0 | | 1 | 7 | 3 | | 2 | 8 | 6 | | 3 | 9 | 9 |
which helps confirm we have the correct answer.
Answer: 9
|
|
|
