The question here has wrong numbers. Here is the correct question:
A supermarket is selling 2 types of candies, orange slices and strawberry leaves. The orange slices cost $1.27 per pound and the strawberry leaves cost $1.77 per pound. How many pounds of each should be mixed to get a 13-pound mixture that sells for $19.01?
Answer:
8 pounds of orange slices and 5 pounds of strawberry leaves
Step-by-step explanation:
This question is related to simple algebra
Let x represent orange slices weight
Let y represent strawberry leaves weight
The sum of the weights of x and y will be 13 pounds
So first equation will be x + y = 13
The total cost will be $19.01
So the second equation will be
1.27x + 1.77y = 19.01
Using first equation
x + y = 13
x = 13 – y
Substituting this in the second equation
1.27 (13 - y) + 1.77y = 19.01
16.51 – 1.27y + 1.77y = 19.01
16.51 + 0.5y = 19.01
y = 5
Using this value of y to find x
x = 13 – y
x = 13 – 5
x = 8
So 8 pounds of orange slices and 5 pounds of strawberry leaves
Answer:
8 pound of orange slices
5 pound of strawberry leaves.
Step-by-step explanation:
Let X = weight of orange slices and Y = weight of strawberry leaves.
Therefore,
Quantities:
i. X + Y = 13
Cost:
ii. 1.27X + 1.77Y = 19.01
Rearranging i. equation:
Y = 13 – X
Substituting this in the second equation
1.27X + 1.77*(13 – X) = 19.01
1.27X + 23.01 - 1.77X= 19.01
0.5X = 4
X = 8
Inputting the value X into i. equation:
8 = 13 – Y
Y = 5.
