Question

the student council is raising money by selling bags of oranges and mangoes to the teachers and parents. they sold 48 oranges and 54 bags of mangoes in January and made a total of $480.00. they raised $600 last December by selling 52 bags of oranges and 48 bags of mangoes. how much is the student council selling a bag of mango and a bag of oranges?

Answer 1

See explanation below

Step-by-step explanation:

let one bag of orange = x

let one bag of mango = y

48 bag of oranges + 54 bags of mangoes = $480

48(x) + 54(y) = 480

48x + 54y = 480 ...equation 1

To the lowest term:

8x + 9y = 80 ...equation 1

52 bags of oranges + 48 bags of mangoes = $600

52(x) + 48(y) = 600

52x + 48y = 600 ...equation 2

To the lowest term:

13x + 12y = 150 ...equation 2

combine both equation, then apply elimination method:

8x + 9y = 80 ...equation 1 × 13

13x + 12y = 150 ...equation 2 × 8

104x + 117y = 1040 ...equation 1

104x + 96y = 1200 ...equation 2

subtract 1 from 2:

104x - 104x + 96y - 117y = 1200 - 1040

0 - 21y = 160

-21y = 160

y = -160/21 = -7.62

substitute for y in equation 1:

104x + 117(-160/21) = 1040

104x - 891.43 = 1040

104x = 1040 + 891.43

104x = 1931.43

x = 1931.43/104

x = 18.57

Hence, the cost of one bag of oranges is $18.57 and the cost of one bag of mangoes is $

It seems there is an error in the numbers given in the question because we can't get a negative number as cost of an item.