Question

antonia and carla have an equivalant percentage of green marbles in their bags of marbles. antonia has 4 green marbles and 16 total matbles. if carla has 10 green marbles , how many total marbles does carla have

Answer 1

10/x = 4/16

x/10 = 16/4

x = 10*16/4 = 40

Answer 2

For this case, we must find the amount of marbles Carla has.

If both girls have an equivalent percentage of green marbles, we look for what percentage of green marbles has Antonia.

Making a rule of three:

16 -------------> 100%

4 ---------------> x

Where "x" represents the percentage of green marbles.

`x = \frac {4 * 100} {16}\\x = 25%`

As Antonia has 25% green marbles, it means that Carla also has 25% green marbles. We make a rule of three to find the total amount of Carla's marbles.

10 -----------> 25%

y -------------> 100%

Where "y" represents Carla's total of marbles.

`y = \frac {100 * 10} {25}\\y = 40`

So, Carla has 40 marbles in total.

Answer:

40