Johann and Marta shopped at a vintage toy store. Johann bought 3 blue marbles and 5 green marbles and paid $11. Marta bought 4 blue marbles and 2 green marbles and paid $10. Which system of equations can be used to find the prices of the blue and green marbles? help me please

Respuesta :

JJDea
3x +5y= 11
4x +2y=10
maybe this helps

Answer:

The system of equations which can be used to find the prices of blue and green marbles : 3·x + 5·y = 11  and  4·x + 2·y = 10

Step-by-step explanation:

Let the price of blue marble be $x and the price of green marble be y

Number of blue marbles bought by Johann = 3

Number of green marbles bought by Johann = 5

Total amount paid by Johann = $11

So, The equation for this is given by :

3·x + 5·y = 11 ........(1)

Number of blue marbles bought by Martha = 4

Number of green marbles bought by Martha = 2

Total amount paid by Johann = $10

So, The equation for this is given by :

4·x + 2·y = 10 ........(2)

Thus, The system of equations which can be used to find the prices of blue and green marbles : 3·x + 5·y = 11  and  4·x + 2·y = 10