Lisa and her sister Maria are making baby blankets to sell at a boutique. Lisa has already completed 2 blankets and can finish 3 more blankets per day. Maria has already completed 6 blankets and can finish 2 more blankets per day. At some point, they will have completed the same number of blankets. How many blankets will each woman have made? How long will that take?
Let's represent the number of days it will take for both Lisa and Maria to have completed the same number of blankets as "x", and the number of total blankets completed by both Lisa and Maria as "total blankets."
We know that Lisa has already completed 2 blankets and can finish 3 more blankets per day. Therefore, the number of blankets Lisa will have made by the time it takes for both women to have completed the same number of blankets is "2 + 3x."
Similarly, Maria has already completed 6 blankets and can finish 2 more blankets per day. Therefore, the number of blankets Maria will have made by the time it takes for both women to have completed the same number of blankets is "6 + 2x."
Since the number of blankets made by both women will be the same at that point, we can equate the two expressions:
2 + 3x = 6 + 2x
By simplifying the equation, we get:
3x - 2x = 6 - 2
x = 4
Therefore, it will take 4 days for both women to have completed the same number of blankets.
To find out how many blankets each woman will have made at that point, substitute the value of x into the respective expressions:
Lisa: 2 + 3(4) = 2 + 12 = 14 blankets
Maria: 6 + 2(4) = 6 + 8 = 14 blankets
Therefore, each woman will have made 14 blankets by the time 4 days have passed.