Jewel uses 1/8 lb of cheese to make a sandwich in the cafeteria where she works.She purchased a 5 lb block of cheese earlier this week and has already used
1 3/4 lb from the block.Which equation could be used to find n, the number of sandwiches that jewel could make from the remaining cheese?
A. 8n + 1 3/4 = 5
B. 8n - 1 3/4 = 5
C. 1/8 n + 1 3/4 = 5
D. 1/8 n - 1 3/4 = 5
please answer and explain
And your answer is?
To find the equation that represents the number of sandwiches Jewel can make from the remaining cheese, we need to determine the total amount of cheese remaining. We know that Jewel initially purchased a 5 lb block of cheese, and she has already used 1 3/4 lb from it.
To find the remaining cheese, we subtract the amount used (1 3/4 lb) from the initial amount (5 lb):
Remaining cheese = Initial amount - Amount used
Remaining cheese = 5 lb - 1 3/4 lb
To subtract fractions with different denominators, we need to make the denominators the same. In this case, we can convert 5 lb to a fraction with a denominator of 4:
Remaining cheese = 5 lb - (1 3/4 lb)
Remaining cheese = 5 lb - (7/4 lb)
Now, to subtract the two fractions, we need to find a common denominator. The least common denominator between 4 and 4 is 4:
Remaining cheese = (20/4 lb) - (7/4 lb)
Remaining cheese = (20 - 7)/4 lb
Remaining cheese = 13/4 lb
Now we know that the remaining cheese is 13/4 lb. Each sandwich requires 1/8 lb of cheese. Let's represent the number of sandwiches Jewel can make with n.
The equation that represents the number of sandwiches Jewel can make from the remaining cheese is:
(1/8) n = 13/4
To simplify the equation, we can multiply both sides by 8 to eliminate the fraction:
8 * (1/8) n = (13/4) * 8
n = 13 * 2
n = 26
Therefore, the equation that could be used to find the number of sandwiches Jewel can make from the remaining cheese is:
Option A: 8n + 1 3/4 = 5