Amy had some buns and pies in the ratio 16: 9. After she sold a total of 192 buns and pies, 1/3 of the pies were left and the number of buns decreased by 3/8. Chandra bought 3/4 of Amy's remaining pies at
$3.85 each.
(a) How many buns were sold?
(b) How much money did Chandra pay for the pies?
To find the answer, we'll break it down into steps:
Step 1: Find the ratio of buns to pies.
The ratio of buns to pies is given as 16:9.
Step 2: Find the total number of buns and pies.
Let the common factor be 'x'. So, the total number of buns and pies is 16x + 9x = 25x.
Step 3: Determine the number of buns and pies after selling.
After selling a total of 192 buns and pies, the number of buns decreased by 3/8, and 1/3 of the pies were left.
Let's calculate the number of buns and pies left separately.
The number of buns sold = (3/8) * 192 = 72
The number of buns left = 192 - 72 = 120
The number of pies sold = 192 - 72 = 120
The number of pies left = (2/3) * 120 = 80
Step 4: Find the number of pies Chandra bought.
Chandra bought 3/4 of the remaining pies, which is (3/4) * 80 = 60 pies.
Step 5: Calculate the total cost Chandra paid for the pies.
The cost of each pie is $3.85, and Chandra bought 60 pies.
So, the total cost = $3.85 * 60 = $231.
Answers:
(a) The number of buns sold is 72.
(b) Chandra paid $231 for the pies.