Question

Gia and her sister are knitting hat for babies brown at a local hospital.Gia has knitted 6hats and set a goal of knitting 2 more jars every week. Gia sister has knitted 1hat and set a goal of knitting 3 more hats every week.they want to make their donation when they have completed the same number of hats. If they both meet their goals, how many hats will each girl donate?

Answer 1

Both Gia and her sister will donate 16 hats each.

Explanation:

Let's start by finding the common number of hats that both Gia and her sister will need to knit in order to make their donation.

Let's say x is the number of weeks they will need to knit to reach their goal.

Gia will knit 6 hats initially and then 2 more hats per week, so the number of hats she will knit in x weeks is:

6 + 2x

Gia's sister will knit 1 hat initially and then 3 more hats per week, so the number of hats she will knit in x weeks is:

1 + 3x

Since they want to donate the same number of hats, we can set these two expressions equal to each other and solve for x:

6 + 2x = 1 + 3x

Subtracting 2x from both sides, we get:

6 = 1 + x

Subtracting 1 from both sides, we get:

5 = x

So they will need to knit for 5 weeks to reach their goal.

Now we can substitute x = 5 into either of the expressions we derived earlier to find out how many hats each girl will donate.

Gia will knit:

6 + 2x = 6 + 2(5) = 16 hats

Gia's sister will knit:

1 + 3x = 1 + 3(5) = 16 hats

Therefore, both Gia and her sister will donate 16 hats each.