M
, 17.02.2022 17:53

At imelda's fruit stand, you bought 5 apples and 4 oranges for $10, and your friend bought 5 apples and 5 oranges for$11. using this information, is it possible to determine the cost of one apple and one orange from the fruit stand? if so, what do they cost? if not, why not?

Let x be price of one apple and y be price of one orange.

Upon using our given information we will get a system of equation as:

Since we know that a system of equation will have a unique solution if,

, where  and are coefficients of x and y terms of our one equation respectively; and are coefficients of x and y terms of our second equation respectively.

Let us check that our system of equations is solvable or not.

We can see that our system of equation is solvable and will have a unique solution.

We will use substitution method to solve our system of equations.

Upon substituting in 1st equation we will get,

Upon combining like terms we will get,

Multiplying both sides of our equation by -1 we will get,

Therefore, price of one orange is $1. Now let us substitute y=1 in 1st equation. Therefore, price of one apple is$1.2.

Apple cost 1.20 and orange 1.00

Step-by-step explanation:

Other questions on the subject: Mathematics

M
Mathematics, 04.01.2021 21:54
Simplify to create an equivalent expression. 19-6(-K+4)
M
Mathematics, 30.04.2021 06:48
Whitch set best describes the following list ? 3.4 -9,0, 5 1/2, -0.4
M
Mathematics, 01.12.2021 17:30
Choose The mathematical sentence that expressed the information given use him as your variable name The number of menu items was reduced by five there are now 30 Items
M
Mathematics, 01.12.2021 17:34
A cake was cut into 12 pieces. If 5 pieces were eaten calculate what fraction of the cake was left