At the market, a pear costs b cents and an apple costs 7 cents less than a pear. Randy buys 4 pears and an apple. How much does Randy pay in terms of b?
5b-7
21
Let's break down the problem step-by-step:
Step 1: Determine the cost of an apple in terms of b.
We know that an apple costs 7 cents less than a pear. So, the cost of an apple is (b - 7) cents.
Step 2: Determine the total cost of 4 pears.
Since each pear costs b cents, 4 pears will cost 4 * b = 4b cents.
Step 3: Determine the total cost of an apple.
We already found that the cost of an apple is (b - 7) cents.
Step 4: Find the total cost of 4 pears and an apple.
To find the total cost, we add the cost of 4 pears (4b) to the cost of an apple (b - 7):
Total cost = 4b + (b - 7) = 5b - 7 cents.
Therefore, Randy pays 5b - 7 cents in terms of b.
To find out how much Randy pays in terms of b, we need to express the cost of the apple and the pears using the variable b.
We know that the cost of a pear is b cents.
And the cost of an apple is 7 cents less than a pear, so it would be b - 7 cents.
Randy buys 4 pears, so the cost of 4 pears would be 4 multiplied by the cost of a pear, which is 4b cents.
Randy also buys an apple, so we need to add the cost of the apple to the total cost. Since the cost of the apple is b - 7 cents, we add (b - 7) cents.
Therefore, the total amount Randy pays in terms of b would be 4b + (b - 7) cents.