A woman makes n baskets and sells them all at the same price
(A) If she sells all but 3 of the baskets . she will get 5,700. Express the selling price of a basket in terms of n.
(B) If she makes 3 more baskets and sells them all, she will get 7,500. Write down another expression in n for the selling price of a basket.
(C) Hence find the selling price of each baskets.
Please some one should assist me.
To solve the problem, we need to express the selling price of a basket in terms of n for both scenarios A and B. Let's go step by step:
(A) If she sells all but 3 of the baskets and receives 5,700 dollars, we can set up the equation:
(n - 3) * price = 5700
To express the selling price of a basket in terms of n, we rearrange the equation:
price = 5700 / (n - 3)
So the expression for the selling price of a basket in terms of n is 5700 divided by n minus 3.
(B) If she makes 3 more baskets and sells them all for 7,500 dollars, we can set up the equation:
(n + 3) * price = 7500
To find another expression for the selling price of a basket in terms of n, we rearrange the equation:
price = 7500 / (n + 3)
So the second expression for the selling price of a basket in terms of n is 7500 divided by n plus 3.
(C) To find the selling price of each basket, we need to solve the two expressions for price we derived in parts A and B.
Equation from part A: price = 5700 / (n - 3)
Equation from part B: price = 7500 / (n + 3)
Now, we can plug in the value of n to get the selling price of each basket.