Carla used 6 1/2 cups of sugar to make five pies. How many cups of sugar will she need to make 2 pies?
1 answer:
Answer:
Number of Sugar cups needs for 2 pies = 20/13 cups
Step-by-step explanation:
Given:
Number of Sugar cups used for 5 pies = cups = 13/2 cups
Find:
Number of Sugar cups needs for 2 pies
Computation:
Number of Sugar cups needs for 1 pie = 5 / (13/2)
Number of Sugar cups needs for 1 pie = 10 / 13 cups
Number of Sugar cups needs for 2 pies = 2[Number of Sugar cups needs for 1 pie]
Number of Sugar cups needs for 2 pies = 2[10/13]
Number of Sugar cups needs for 2 pies = 20/13 cups
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You use the arithmetic sequence formula and input the information given to you.
tn = a + (n-1)d
t(56) is what your looking for so don't worry about the tn.
a is your first term,
a = 15.
n is the position of the term you are looking for, n = 56.
And d is the common difference, you find this by taking t2 and subtracting t1. t2=18 and t1=15.
d = 18 - 15 = 3
Inputting it all into the formula you get,
t(56) = 15 + (56-1)(3)
term 56 = 180.
You use this formula to find any term in a sequence provided you are given enough info. You can also manipulate it if you are asked to find something else like the first term(a), common difference(d) or term position(n). It just depends on what the question is asking and what information you are given. :)
Hope this helps!
tn = a + (n-1)d
t(56) is what your looking for so don't worry about the tn.
a is your first term,
a = 15.
n is the position of the term you are looking for, n = 56.
And d is the common difference, you find this by taking t2 and subtracting t1. t2=18 and t1=15.
d = 18 - 15 = 3
Inputting it all into the formula you get,
t(56) = 15 + (56-1)(3)
term 56 = 180.
You use this formula to find any term in a sequence provided you are given enough info. You can also manipulate it if you are asked to find something else like the first term(a), common difference(d) or term position(n). It just depends on what the question is asking and what information you are given. :)
Hope this helps!