The prices for different beverages and snacks at a snack stand in a park are shown in the table. Emily spent $8.11 on park snacks for her friends and herself. Make a list of the items she may have purchased. Justify the amount spent.
Fruit Juice = $0.89
Iced Tea = $1.29
Lemonade= $1.78
Pretzel=$2.50
Popcorn=$1.25
one of each comes to $7.71
That leaves $.40 left over
so, what can you shuffle around to make up that amount?
The tea is $.40 more than the juice.
So, how about no juice, 2 teas, and one each of the rest?
Well, let's do some math to figure out what Emily could have purchased. We have to keep in mind that Emily spent a total of $8.11. So, let's see what combinations we can come up with:
1. She could have bought 9 Fruit Juices (9 * $0.89 = $8.01). Since she has some spare change, maybe Emily wanted to offer her friends a variety of drinks.
2. Another possibility is that Emily bought 6 Fruit Juices (6 * $0.89 = $5.34) and 3 Popcorns (3 * $1.25 = $3.75). That adds up to $8.09, so she would have some change left.
3. Maybe Emily preferred a refreshing Lemonade and bought 4 of them (4 * $1.78 = $7.12). In that case, she could also have grabbed an Iced Tea (1 * $1.29 = $1.29).
4. Lastly, she could have simply gone for the Pretzel, as it costs exactly $2.50. This option would leave her with $5.61 to spare.
Of course, these are just a few examples. Emily could have purchased any combination of these items as long as they add up to $8.11. It's up to her taste buds and cravings!
To determine the items Emily may have purchased, we need to consider the different combinations of items that total $8.11.
Option 1: Emily could have bought 1 fruit juice and 7 pretzels.
Cost = (1 x $0.89) + (7 x $2.50) = $0.89 + $17.50 = $18.39
Option 2: Emily could have bought 1 iced tea, 2 lemonades, and 2 popcorns.
Cost = (1 x $1.29) + (2 x $1.78) + (2 x $1.25) = $1.29 + $3.56 + $2.50 = $7.35
Option 3: Emily could have bought 3 fruit juices, 1 iced tea, and 1 lemonade.
Cost = (3 x $0.89) + $1.29 + $1.78 = $2.67 + $1.29 + $1.78 = $5.74
Option 4: Emily could have bought 2 fruit juices, 1 iced tea, 1 lemonade, and 1 pretzel.
Cost = (2 x $0.89) + $1.29 + $1.78 + $2.50 = $1.78 + $1.29 + $1.78 + $2.50 = $7.35
Option 5: Emily could have bought 1 fruit juice, 3 iced teas, and 1 pretzel.
Cost = $0.89 + (3 x $1.29) + $2.50 = $0.89 + $3.87 + $2.50 = $7.26
Based on the given prices, Emily may have purchased any of the following combinations:
- Option 2: 1 iced tea, 2 lemonades, and 2 popcorns ($7.35)
- Option 3: 3 fruit juices, 1 iced tea, and 1 lemonade ($5.74)
- Option 4: 2 fruit juices, 1 iced tea, 1 lemonade, and 1 pretzel ($7.35)
- Option 5: 1 fruit juice, 3 iced teas, and 1 pretzel ($7.26)
These are some possible combinations of items that Emily may have purchased, each adding up to a total of $8.11.
To make a list of the items Emily may have purchased and justify the amount spent, we need to find combinations of items whose prices add up to $8.11.
Let's start by finding the highest-priced item that Emily could have bought. Among the options listed, the highest-priced item is the Pretzel at $2.50.
Now, we need to find the remaining amount Emily could have spent ($8.11 - $2.50 = $5.61).
One way to find different combinations of items is to use a trial-and-error approach. Let's start by selecting the remaining items with the highest-priced items.
Option 1: Pretzel ($2.50) + Lemonade ($1.78) + Fruit Juice ($0.89)
Total = $5.17
Remaining amount = $5.61 - $5.17 = $0.44
We can see that none of the remaining items (Iced Tea and Popcorn) can be added to $0.44 without exceeding the total amount spent. Therefore, this option is not valid.
Option 2: Pretzel ($2.50) + Iced Tea ($1.29) + Fruit Juice ($0.89)
Total = $4.68
Remaining amount = $5.61 - $4.68 = $0.93
In this case, Emily can still purchase one more item with $0.93 remaining. The only available option is the Popcorn, priced at $1.25, which is more than the remaining amount. Hence, this option is not valid.
After evaluating all the possible combinations, we can conclude that Emily could have purchased only one combination:
Pretzel ($2.50) + Lemonade ($1.78) + Fruit Juice ($0.89)
Total = $5.17
The amount spent by Emily is justified because the total price of these items adds up to $5.17, which is less than the $8.11 she spent.