A store orders boxes of a new brand of cereal from their supplier. The suppier gives the store an additional 3% of the number of boxes ordered as free samples for customers. The store receives 1648 boxes in all. How many boxes of cereal did the store order?
103%________
1%___________
100%____________
The store ordered _________ boxes of cereal.
1648 / 1.03 = ?
Can you show how you came up with 1.03?
Ordered X boxes of cereal.
x + 0.03x = 1648,
1.03x = 1648,
X = 1648/1.03 =
To find the number of boxes of cereal the store ordered, we can start by setting up a proportion using the information given.
Let's assume that the number of boxes the store ordered is x.
According to the problem, the supplier gives the store 3% of the number of boxes ordered as free samples. This means the store receives an additional 3% of x as free samples, which is 3% of x = (3/100) * x.
Adding the free samples to the number of boxes ordered gives the total number of boxes the store received, which is 1648.
So we can set up the following equation:
x + (3/100) * x = 1648
To solve for x, we need to combine like terms:
(1 + 3/100) * x = 1648
Simplifying the left side:
(103/100) * x = 1648
To isolate x, we divide both sides of the equation by (103/100):
x = 1648 / (103/100)
To divide by a fraction, we multiply by its reciprocal:
x = 1648 * (100/103)
Now we can calculate the value of x:
x = 1600
Therefore, the store ordered 1600 boxes of cereal.
Now, let's fill in the blanks:
103% = 1600 boxes
1% = (1600 / 103) boxes
100% = 1600 boxes
The store ordered 1600 boxes of cereal.