A chef makes 4 different quiches as the special of the day. At the end of the day, each dish had 3/8 of the quiche left. How much quiche was bought in all?
Could someone please explain how to solve this problem?
(5/8) * 4 = 20/8 = 2 1/2
2 1/2 is what I got but that is not an answer choice we were given to choose from in the book, so now I don't know.
To solve this problem, we need to find out how much quiche was bought in total.
Given:
- The chef made 4 different quiches.
- At the end of the day, each quiche had 3/8 left.
To calculate the total amount of quiche bought, we can follow these steps:
Step 1: Calculate the amount of quiche that was left for each quiche.
- Each quiche had 3/8 left.
Step 2: Calculate the fraction of the quiche that was eaten.
- The fraction eaten is the complement of the fraction left.
- So, the fraction eaten is 1 - 3/8 = 5/8.
Step 3: Calculate the amount of quiche that was eaten.
- Since each quiche had the same amount leftover, we can multiply the fraction eaten by the total amount of quiche made for one type.
- So, 5/8 * 1 quiche = 5/8 quiche eaten for one type.
Step 4: Calculate the total amount of quiche bought.
- Since the chef made 4 different quiches, we can multiply the amount of quiche eaten for one type by the number of types made.
- So, 5/8 quiche * 4 types = 20/8 quiches in total.
- Simplifying the fraction, we get 20/8 = 2.5 quiches in total.
Therefore, the chef bought a total of 2.5 quiches.
To solve this problem, we need to find the total amount of quiche that was bought.
Since each dish had 3/8 of the quiche left at the end of the day, it means that 5/8 of the quiche was consumed.
Let's assume that the total amount of quiche bought was represented by "x".
Since there were 4 different quiches, we can multiply the amount bought by 4 to represent the total amount of quiche for all the dishes.
So, the equation will be: (5/8)*x = 4
To find the value of "x", we can multiply both sides of the equation by (8/5):
((8/5)*(5/8))*x = (8/5)*4
x = 32/5
Therefore, the total amount of quiche that was bought in all is 6 and 2/5 (or 6.4 if you prefer decimals).
So, the chef bought 6.4 units (e.g., 6.4 quiches, if the units are quiches).