Jane has 3 times as many cards as peter. the average number of cards owned by the two children is 64. how many cards does jane have?
Peter has ---- x cards
Jane has ---- 3x cards
(x+3x)/2 = 64
continue ....
To find out how many cards Jane has, we need to set up equations based on the given information.
Let's assume Peter has "x" cards.
According to the given information, Jane has 3 times as many cards as Peter. So Jane would have 3x cards.
The average of their cards is given as 64.
The average is calculated by adding the values together and then dividing by the number of values.
So we can set up the equation:
(x + 3x) / 2 = 64
Simplifying the equation:
(4x) / 2 = 64
2x = 64
Divide by 2 on both sides:
x = 32
So Peter has 32 cards.
To find how many cards Jane has, we substitute the value of x back into the equation:
Jane's cards = 3x = 3 * 32 = 96
Therefore, Jane has 96 cards.