five oranges and an apple cost 87.00; five apples and one orange cost 99.00. how much do 2 oranges and 2 apples cost?
I assume these costs are Philippine pesos.
yes ms. sue
To solve this problem, we can assign variables to the cost of an orange and an apple. Let's say the cost of an orange is "x" and the cost of an apple is "y".
From the given information, we can form two equations:
Equation 1: 5x + y = 87 (five oranges and an apple cost 87.00)
Equation 2: 5y + x = 99 (five apples and one orange cost 99.00)
Now, we can solve these two equations simultaneously to find the values of "x" and "y" using any method of solving equations, such as substitution or elimination.
Method 1: Substitution
Solve Equation 1 for "y":
y = 87 - 5x
Now substitute this value for "y" in Equation 2:
5(87 - 5x) + x = 99
435 - 25x + x = 99
435 - 24x = 99
-24x = 99 - 435
-24x = -336
x = -336 / -24
x = 14
Substitute the value of "x" back into Equation 1 to find the value of "y":
5(14) + y = 87
70 + y = 87
y = 87 - 70
y = 17
So, the cost of an orange (x) is 14, and the cost of an apple (y) is 17.
Now, to calculate the cost of 2 oranges and 2 apples, we can multiply the cost of each fruit by the respective quantity and add them up:
Cost of 2 oranges = 2 * 14 = 28
Cost of 2 apples = 2 * 17 = 34
Total cost = Cost of 2 oranges + Cost of 2 apples
Total cost = 28 + 34 = 62
Therefore, 2 oranges and 2 apples cost 62.00.