Question

1. Five cheese burger and ten cakes cost a total of $25, while ten cheese burgers and five cakes
costs $35. Which is the cost of a cheese burger? __
​

Answer 1

Answer:

$3

Step-by-step explanation:

let

cheese burger be x

& cake be y

now

a/q

5x + 10y = $25 ......(i)

&

10x + 5y = $35 .......(ii)

from eq (i) & (ii) we get

(10x + 5y) - (5x + 10y) = 35 - 25

=> 10x + 5y - 5x - 10y = 10

=> 10x - 5x - 10y +5y = 10

=> 5x - 5y = 10

=> 5(x-y) = 10

=> x-y = 2

or

x = 2+y.....(iii)

putting this value of x in eq (i) we get

5x + 10y = 25

= 5(2+y) + 10y = 25

= 10 + 5y + 10y = 25

= 15y = 25 - 10

= 15y = 15

= y = 1.....(iv)

now..

putting this value of y in eq (iii) we get

x = 2+y = 2 + 1 = $ 3 (answer)