need direction on part c.
Rosa and her friend build & paint a tree house. On monday they paint 2/5 of the tree house. On tuesday they paint 3/7 of the house.
A - painting of the house need to be finished on wednesday. how much more work do they have to do? 14/35 + 15/35=29/35
They need to paint 6/35 more of the house.
B - They use 1 2/3 quart of paint on monday and 1 3/4 quart of paint on tuesday. how much paint did they use in all? 1 8/12 + 1 9/12= 3 5/12 quarts used in all.
C - How much paint will they need on Wednesday? (stuck)
You did the math wrong.
Well, the amount of paint they will need on Wednesday depends on how much more of the tree house they need to paint. In part A, we found out that they still need to paint 6/35 of the house. So, to calculate how much paint they will need on Wednesday, we can use a proportion.
Since they painted 2/5 of the house on Monday and 3/7 of the house on Tuesday, we can say that (2/5) + (3/7) represents the work that they have already done.
So, the proportion would be:
(2/5) + (3/7) = (work done) / (total work)
From part A, we know that (work done) = 29/35, so we can plug that into the equation:
(2/5) + (3/7) = 29/35
Now, we can solve for the total work that needs to be done:
(2/5) + (3/7) = (work done) / (total work)
Now, we can solve for the total work that needs to be done:
(2/5) + (3/7) = (29/35) / (total work)
To solve for the total work, we can cross multiply:
(2/5) + (3/7) = (29/35) / (total work)
(2/5) + (3/7) = 29/35(total work)
(14/35) + (15/35) = 29/35(total work)
29/35 = 29/35(total work)
Now, we can solve for the total work needed:
Total work = 1
Therefore, they need to paint the remaining 1/35 of the house on Wednesday.
Since we don't have information about how much paint they will need to paint this remaining portion, we cannot answer part C accurately. However, you can estimate based on the amount of paint they used on Monday and Tuesday, and assume that they will use a similar amount of paint on Wednesday.
To find out how much paint they will need on Wednesday, we need to subtract the amount of paint they have already used from the total amount needed to complete the tree house.
Let's calculate the amount of paint used on Monday and Tuesday:
On Monday, they used 1 2/3 quarts of paint.
On Tuesday, they used 1 3/4 quarts of paint.
To find the total amount of paint used, we need to add these quantities:
1 2/3 + 1 3/4
To simplify the sum, we first convert the mixed numbers into improper fractions:
1 2/3 = (1 * 3 + 2)/3 = 5/3
1 3/4 = (1 * 4 + 3)/4 = 7/4
Now we can add the improper fractions:
5/3 + 7/4
To add fractions, we need to get a common denominator. The common denominator for 3 and 4 is 12, so we'll convert both fractions:
(5/3 * 4/4) + (7/4 * 3/3) = 20/12 + 21/12
Now that the fractions have the same denominator, we can add them:
20/12 + 21/12 = 41/12
Now that we have the total amount of paint used, we subtract it from the total amount needed to find out how much they will need on Wednesday.
The total amount needed is 3 5/12 quarts, and the amount used is 41/12 quarts.
To find the remaining amount, we subtract:
3 5/12 - 41/12 =
(3 * 12 + 5)/12 - 41/12 =
(36 + 5 - 41)/12 =
0/12
Therefore, they will not need any additional paint on Wednesday because they have already used the total amount needed to complete the tree house.
To find out how much paint they will need on Wednesday, we first need to know the total amount of paint needed to complete the tree house.
From the given information, we know that they have painted 2/5 of the house on Monday and 3/7 on Tuesday, which adds up to 29/35 of the house (as calculated in part A).
To determine how much more paint they need, we subtract the already painted portion (29/35) from the total amount of paint needed to complete the house, which is 1 whole or 35/35.
35/35 - 29/35 = 6/35
So, they still need to paint 6/35 of the house on Wednesday.
Now, to find out how much paint they will need, we need to multiply 6/35 (the remaining work) by the total amount of paint used to paint the portion they have completed.
Since they used a total of 3 5/12 quarts of paint to paint 29/35 of the house (as calculated in part B), we can set up a proportion to find out how much paint they will need for the remaining 6/35 of the house.
(3 5/12 quarts) / (29/35) = X / (6/35)
To solve for X (the amount of paint needed on Wednesday), we cross multiply and solve for X:
(3 5/12 quarts) * (6/35) = X * (29/35)
Multiply the numerators:
(3 + (5/12)) * (6/35) = X * (29/35)
Convert the mixed number to improper fraction:
(37/12) * (6/35) = X * (29/35)
Multiply the fractions:
(37/12) * (6/35) = X * (29/35)
Cancel out common factors and simplify:
(37/2) * (1/5) = X * (29/1)
(37/2) * (1/5) = X * (29/1)
Multiply numerators and denominators:
(37 * 1) / (2 * 5) = X * (29/1)
37/10 = X * 29
To find X, divide both sides of the equation by 29:
(37/10) / 29 = X * (29/29)
X = (37/10) / 29
Calculate the division:
X = 37/290
Therefore, they will need approximately 37/290 quarts of paint to complete the remaining work on Wednesday.