Answer to Question #108352 in Algebra for Emelina

Question

it costs $1 to buy an apple and $2 to buy a mango, if you have $10 to spend write and inequality representing all the possible combinations of apples and mangos you could buy then graph it

Answer 1

Cost of an apple = $1

Cost of a mango = $2

Let number of apples purchased be X and no. of mangoes purchased be Y.

So, cost of apples purchased = $X*1$

Cost of mangoes purchased = $Y*2$

Also, since the total cost must always be less than $10 we have

$X+2Y<=10$

Since X and Y are number of fruits they can only be represented by whole numbers.

Hence, for the given inequality, we can have

Y= 0,1,2,3,4,5 and the corresponding value of X= 10,8,6,4,2,0;

(X,Y) can be {(10,0),(8,1),(6,2),(4,3),(2,4),(0,5), (8,0), (6,1),(6,0), (4,2), (4,1), (4,0), (2,0), (2,1), (2,2), (2,3), (0,0), (0,1), (0,2), (0,3), (0,4) }