Algebra Solving Equations by multiplying OR dividing. GRADE 9 LEVEL
Kurt and four friends are
eating in the food court at South CenterMall. They will divide the bill equallyamong the five of them. Two friendsorder hamburgers and two order pizza.All of them order soda. Kevin has only $3.75 with him. What can Kurt order to so that each will pay only $3.75?
$2.50 Hot dog
$1.75 Pizza
$3.25 Hambergure
$1.25 Soda
Kurt can order a hot dog because you know that if they each pay $3.75 the total can be 5*3.75= $18.75 at max and they already bought two hamburgers, so 2*3.25= $6.50, two pizzas, so 2*1.75=$3.50, and five sodas, so 5*1.25=$6.25. Of their $18.75 they have spent 6.50+3.50+6.25=$16.25, meaning that Kurt is left with the $2.50 to buy a hot dog.
2.50 x 1 = 2.50
1.75 x 2 = 3.50
3.25 x 2 = 6.50
1.25 x 5 = 6.25
= 18.75/5
Kurt will have to order a hot dog.
AHHH THANKS BRIANNA
To solve this problem, we need to find out how much each person will need to pay if they divide the bill equally.
First, we need to calculate the total cost of the bill. Two friends ordered hamburgers, which cost $3.25 each, so the total cost for hamburgers is 2 * $3.25 = $6.50. Similarly, two friends ordered pizzas, which cost $1.75 each, so the total cost for pizzas is 2 * $1.75 = $3.50.
Since everyone ordered soda, we need to add the cost of a soda, which is $1.25, to the total bill. Therefore, the total bill is $6.50 + $3.50 + $1.25 = $11.25.
Now we need to find out how much each person will need to pay if they divide the total bill equally. Since there are five people, each person will need to pay $11.25 / 5 = $2.25.
However, Kurt only has $3.75. To find out what Kurt can order so that each person pays only $3.75, we need to subtract the amount Kurt has from the amount each person needs to pay.
$2.25 - $3.75 = -$1.50
Since $1.50 is negative, it means that Kurt does not have enough money to pay his share if each person pays $3.75. Therefore, Kurt cannot order anything from the menu.
To solve this problem, we need to set up an equation for the total cost of their order and use algebra to find out what Kurt can order.
Let's start by defining the variables:
Let x represent the cost of Kurt's order.
Since there are a total of 5 people, each paying $3.75, we can set up the equation: 5 * $3.75 = x + 4 * $3.75.
Now, let's solve for x:
Start by multiplying 4 * $3.75:
4 * $3.75 = $15.00
Substitute this into the equation:
5 * $3.75 = x + $15.00
Multiply 5 * $3.75:
$18.75 = x + $15.00
Now, solve for x by subtracting $15.00 from both sides of the equation:
$18.75 - $15.00 = x
$3.75 = x
Therefore, Kurt can order something that costs $3.75 or less. Looking at the available options, he can order a hot dog for $2.50 or a soda for $1.25 so that each person pays $3.75.