A restaurant uses 15 pound bags of flour in four days each day. The bag of flour gets lighter as more flour is used.
At the start of the first day, the restaurant has a full 15-pound bag of flour.
By the end of the first day, some flour has been used, so the bag is lighter. Let's say x pounds of flour have been used on the first day. Therefore, the bag now weighs 15 - x pounds.
On the second day, another 15-pound bag is used, so the total weight of flour used in two days is x + 15 - x = 15 pounds.
At the start of the third day, the second bag is empty, and the restaurant starts a fresh 15-pound bag. Thus, they have 15 pounds of flour available.
On the third day, the remaining flour from the previous day is used, so the bag now weighs 15 - (x + 15 - x) = 15 - 15 = 0 pounds.
Finally, on the fourth day, another 15-pound bag is used, so the total weight of flour used in four days is x + 15 - x + 15 = 30 pounds.
To summarize:
- On the first day, x pounds of flour are used
- On the second day, 15 pounds of flour are used
- On the third day, the remaining flour is used (0 pounds)
- On the fourth day, another 15 pounds of flour are used
Therefore, in four days, the restaurant uses a total of x + 15 + 0 + 15 = x + 30 pounds of flour.
To determine how much lighter the bag of flour gets each day, we need to divide the total weight of the flour used over the four days by the number of days.
1. Calculate the total weight of flour used over the four days:
Total weight of flour used = 15 pounds/day × 4 days
If we calculate this, we get:
Total weight of flour used = 60 pounds
2. Determine the weight of flour used each day:
Weight of flour used each day = Total weight of flour used / Number of days
Substituting the values:
Weight of flour used each day = 60 pounds / 4 days
Calculating this, we get:
Weight of flour used each day = 15 pounds
Therefore, the bag of flour gets lighter by 15 pounds each day as more flour is used.