Question

the price of 8 sugar coated donuts and 4 cream-filled donuts is 228 pisos, whereas the price of 6 sugar coated donuts and 6 cream-filled donuts is 192 pisos. how much is each kind? show solution​

Answer 1

Answer:

Step-by-step explanation:

let the price of 1 sugar coated donut be x

let the price of 1 cream filled donut be y

according to question,

CASE-1

8x+ 4y=228

4(2x+y)=4(57)

2x+y=57-----(1)

CASE-2

6x+6y=192

6(x+y)=6(32)

x+y=32

x=32-y-----(2)

let's put the value of x in equation(1)

2(32-y)+y=57

64-2y+y=57

-y=57-64

-y=-7

y=7

from equation (2)

x=32-y

x=32-7

x=25

cost of 1 sugar coated donut=25 pesos

cost of 1 cream filled donut=7 pesos