What is the result of the problem below? Thanks What is the problem system?The Webster family is planning a barbecue for one hundred people. The Webster family needs one plastic plate for each person at the barbecue. The Stop and Shop store and Market Place Store both sell plastic plates in packages of fifteen for five dollars and forty-eight cents per package. How many packages of plastic plates does the Webster family need to buy?
Packages of plastic plates are on sale for one-half off regular price at the Stop and Shop store.Packages of plastic plates are on sale for buy one, get one free at the Market Place store. Which store is offering the better buy for plastic plates?
The Market Place store will sell certain items in bulk. If you buy the plates in cartons of four packages of plates,the store will discount the full carton $2.00. You may only buy full cartons.They will not split cartons for this extra savings. Would buying this way save the family money at the sale price? Show all your mathematical thinking.
15 x 6=90 plates 15x7=105plates
So, in conclusion, the Webster family bought 7 packages of plates.
Q2: 5.48/2=$2.74 Buy1 Get1 free 70/2=3.5 4
$2.74X4=$10.96=Total cost
The Stop and shop store has better prices.
Q3: Yes. I say this because if you buy 4 packages of plates, you save $2.00. And since they bought 7 packages, they saved $2.00.
The full answer is no
To solve the problem and find the answer:
Q1: How many packages of plastic plates does the Webster family need to buy?
To find out the number of packages required, you need to divide the total number of plates needed by the number of plates in each package.
The Webster family is planning a barbecue for 100 people, and they need one plastic plate for each person. As each package contains 15 plates, you can divide 100 by 15 to find out the number of packages needed.
100 / 15 = 6.67
Since the Webster family cannot buy a fraction of a package, they would need to round up to the nearest whole number. Therefore, they would need to buy 7 packages of plastic plates.
Q2: Which store is offering the better buy for plastic plates?
To determine which store has the better buy, you need to compare the prices and offers at both stores.
At the Stop and Shop store, the plastic plates are on sale for one-half off the regular price. The regular price per package is $5.48. So, half of $5.48 is $2.74.
At the Market Place store, the plastic plates are on sale for buy one, get one free. So, for every package of plates they buy, they receive an additional package for free. Therefore, you would need to consider the cost of the plates per package at the Market Place store.
Comparing the prices:
Stop and Shop store:
$2.74 per package
Market Place store:
$5.48 for 2 packages
$5.48 / 2 = $2.74 per package
As the prices are the same at both stores, they are offering the same deal for plastic plates.
Q3: Would buying this way save the family money at the sale price?
To determine if buying in bulk would save the family money at the sale price, you need to calculate the total cost of buying plates in cartons of four packages, taking into account the $2.00 discount offered by the Market Place store.
The Webster family bought 7 packages of plates. To determine if buying in cartons of four would save them money, you need to divide 7 by 4 to find out the number of cartons.
7 / 4 = 1.75
Since the Webster family cannot buy a fraction of a carton, they would need to round up to the nearest whole number. Therefore, they would need to buy 2 cartons of plates.
The regular total cost of buying 2 cartons of plates at the Market Place store would be:
2 cartons * 4 packages per carton = 8 packages
8 packages * $2.74 per package = $21.92
However, the Market Place store offers a discount of $2.00 for a full carton. So, the total cost with the discount would be:
$21.92 - $2.00 = $19.92
By buying this way, the Webster family would save $2.00 on the total cost when compared to buying individual packages.
Therefore, buying in bulk would save the family money at the sale price.