Question

Jade buys 4 books that cost the same amount of money. she spends $50.

Part A: in the first box, enter an equation to represent the cost of each book, c, which jade buys.

Part B: in the second box, enter the cost of each book represented by c in this situation.

Answer 1

The equation, representing  the cost of each book, c, which Jade buys is c = 50/4. The cost of each book represented by c in this situation is $12.5

How to interpret the division?

When 'a' is divided by 'b', then the result we get from the division is the part of 'a' that each one of 'b' items will get.

Thus, if 10 mangoes are there, and 2 people, then 10 ÷ 2 is the number of mangoes each person would get, which is 5.

Division, thus, can be interpreted as equally dividing the number that is being divided in total x parts, where x is the number of parts the given number is divided.

Thus, $a \div b$ = a divided in b equal parts.

Also, we can write: $a \div b = a \times \dfrac{1}{b}$

(it is so because as a = a times 1 so $a/b = 1 \times (a/b) = (1/b) \times a$ )

For this case, we're given that;

• Jade buys 4 books
• Each book's cost is same, represented by 'c' (in dollars)
• Total amount spent on buying those 4 books = $50

4 books = $50 in cost

Dividing 4 books in 4 groups equally gives 1 book per group.

Dividing $50 in 4 groups equally, which would correspond to those 4 groups of books, would give cost per group, and therefore cost of each book.

We've got:

$\text{Cost of each book} = c = \dfrac{50}{4} \: \rm (in \: dollars)$

Dividing further, we get:

$c = 50/4 = 12.5 \: \rm dollars$

Thus, the equation, representing  the cost of each book, c, which Jade buys is c = 50/4. The cost of each book represented by c in this situation is $12.5

Learn more about division here:

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