18 of Susan's muffins weigh the same as 15 of Tom's muffins. How many of Susan's muffins weigh the same as 7 of Tom's muffins?
S = weight of Susan's muffin
T = weight of Tom's muffin
18 of Susan's muffins weigh the same as 15 of Tom's muffins means:
18 S = 15 T
3 ∙ 6 S = 3 ∙ 5 T
Divide both sides b 3
6 S = 5 T
Divide both sides by 5
6 S / 5 = T
T = 6 S / 5
T = 1.2 S
1 Tom's muffin weigh the same as 1.2 Susan's muffins.
7 Tom's muffins weigh:
7 T = 7 ∙ 1.2 S
7 T = 8.4 S
8.4 S = 7 T
8.4 Susan's muffins weigh the same as 7 of Tom's muffins.
To find out how many of Susan's muffins weigh the same as 7 of Tom's muffins, we can set up a proportion.
We know that 18 of Susan's muffins weigh the same as 15 of Tom's muffins.
Let's set up the proportion using the number of muffins:
18 / 15 = x / 7
Now, we can cross multiply:
18 * 7 = 15 * x
Simplifying the equation:
126 = 15x
To isolate x, we divide both sides of the equation by 15:
x = 126 / 15
Now, we can simplify the fraction:
x = 8.4
Therefore, 8.4 of Susan's muffins weigh the same as 7 of Tom's muffins.
However, since it is not possible to have a fraction of a muffin, we can say that 8 of Susan's muffins weigh the same as 7 of Tom's muffins.
To find the number of Susan's muffins that weigh the same as 7 of Tom's muffins, we need to set up a proportion.
Let's denote the weight of Susan's muffin as "S" and the weight of Tom's muffin as "T".
Given that 18 of Susan's muffins weigh the same as 15 of Tom's muffins, we can write the proportion as:
18S = 15T
To find how many of Susan's muffins weigh the same as 7 of Tom's muffins, we need to solve for S when T = 7.
18S = 15 × 7
Now, we can solve for S:
18S = 105
S = 105/18
S ≈ 5.83
Therefore, approximately 5.83 of Susan's muffins weigh the same as 7 of Tom's muffins. Since we cannot have a fraction of a muffin, the closest whole number would be 6. So, 6 of Susan's muffins weigh the same as 7 of Tom's muffins.