Zimak bought 3 xylobars and 5 yackities from the Intergalactic Candy Store for $1.75. Jeejuju paid $1.88 and got 4 xylobars and 1 yackity. How much would Dado pay for 1 xylobar and 2 yackities?
Well, if Zimak paid $1.75 for 3 xylobars and 5 yackities, and Jeejuju paid $1.88 for 4 xylobars and 1 yackity, then we can see that the xylobars are more expensive than the yackities. Let's take a closer look.
Zimak paid $1.75 for 3 xylobars and 5 yackities, which means the xylobars cost:
(3 xylobars) / ($1.75) = $0.58 per xylobar.
Jeejuju paid $1.88 for 4 xylobars and 1 yackity, so the xylobar cost would be:
($1.88) - (1 yackity) = $1.88 - $0.58 = $1.30 for 4 xylobars.
Now, let's find out how much Dado would pay for 1 xylobar and 2 yackities. Since we know the xylobar costs $0.58, and Dado wants 2 yackities, we need to add the cost of 2 yackities to the cost of 1 xylobar.
2 yackities * (cost per yackity) = 2 yackities * (cost per xylobar) = 2 * $0.58 = $1.16.
So, Dado would pay $0.58 for 1 xylobar and $1.16 for 2 yackities. In total, Dado would pay:
$0.58 (for 1 xylobar) + $1.16 (for 2 yackities) = $1.74.
Therefore, Dado would pay $1.74 for 1 xylobar and 2 yackities.
To find out how much Dado would pay for 1 xylobar and 2 yackities, we need to determine the cost of each candy type first.
Let's label the cost of one xylobar as "x" and the cost of one yackity as "y".
According to the information given:
- Zimak bought 3 xylobars and 5 yackities for $1.75. This can be written as the equation: 3x + 5y = 1.75.
- Jeejuju paid $1.88 and got 4 xylobars and 1 yackity. This can be written as the equation: 4x + y = 1.88.
We can solve this system of equations to find the values of x and y.
Multiplying the second equation by 5, we get:
(4x + y) * 5 = 1.88 * 5
20x + 5y = 9.40
Now we can solve this system of equations:
3x + 5y = 1.75
20x + 5y = 9.40
Subtracting the first equation from the second equation, we have:
20x + 5y - 3x - 5y = 9.40 - 1.75
17x = 7.65
Dividing both sides of the equation by 17, we get:
x = 7.65 / 17
x ≈ 0.45
Now we can substitute the value of x back into one of the original equations to solve for y:
3(0.45) + 5y = 1.75
1.35 + 5y = 1.75
5y = 1.75 - 1.35
5y = 0.4
y = 0.4 / 5
y = 0.08
So the cost of 1 xylobar is approximately $0.45 and the cost of 1 yackity is approximately $0.08.
Dado would pay for 1 xylobar and 2 yackities:
1(0.45) + 2(0.08) = 0.45 + 0.16 = 0.61
Dado would pay approximately $0.61 for 1 xylobar and 2 yackities.
To find out how much Dado would pay for 1 xylobar and 2 yackities, we need to determine the individual prices of a xylobar and a yackity.
Let's assign variables to represent these prices:
Let x be the price of a xylobar.
Let y be the price of a yackity.
From the information given, we know that Zimak bought 3 xylobars and 5 yackities for a total of $1.75, and Jeejuju bought 4 xylobars and 1 yackity for a total of $1.88.
Using this information, we can set up a system of equations:
Equation 1: 3x + 5y = 1.75
Equation 2: 4x + y = 1.88
We can now solve this system of equations to find the values of x and y.
Multiplying Equation 2 by 5 to eliminate the y variable:
20x + 5y = 9.40
Subtracting Equation 1 from the new Equation:
20x + 5y - (3x + 5y) = 9.40 - 1.75
20x - 3x = 7.65
17x = 7.65
x = 7.65 / 17
x ≈ 0.45
Plugging the value of x back into Equation 2 to find y:
4(0.45) + y = 1.88
1.80 + y = 1.88
y = 1.88 - 1.80
y ≈ 0.08
Therefore, the price of one xylobar is approximately $0.45, and the price of one yackity is approximately $0.08.
To find out how much Dado would pay for 1 xylobar and 2 yackities, we simply need to calculate the total cost:
Total cost = (Price of 1 xylobar x Quantity of xylobars) + (Price of 1 yackity x Quantity of yackities)
Total cost = (0.45 x 1) + (0.08 x 2)
Total cost = 0.45 + 0.16
Total cost ≈ $0.61
Therefore, Dado would pay approximately $0.61 for 1 xylobar and 2 yackities.