to identical jars are filled with equal amount of marbles. the marbles are coloured red or white. the ratio of red to white marblesis 7:1 in jar 1 and 9:1 in jar 2 if there are 90 marbles altogether, determin the number of red marbles in jar 2.
let the number of white marbles in the first jar be x
then the number of red marbles in the first jar is 7x
total in jar 1 is 8x
let the number of white marbles in jar 2 be y
then the number of red marbles in jar 2 is 9y
total in jar 2 is 10y
but 8x = 10y
x = (5/4)y
also 8x + 10y = 90
8(5/4)y + 10y = 90
10y + 10y = 90
y = 4.5
but both x and y must be whole numbers,
Your question is flawed.
sorry the total of white marbles is 90
To solve this problem, we need to find the number of red marbles in jar 2.
First, let's find the number of marbles in each jar. Since the total number of marbles in both jars is 90, and the jars have an equal amount of marbles, each jar would have 90/2 = 45 marbles.
Next, we need to find the ratio of red to white marbles in jar 2. In jar 2, the ratio is given as 9:1. This means that for every 9 red marbles, there is 1 white marble.
To find the number of red marbles in jar 2, we can set up a proportion using the ratios of red marbles to the total number of marbles in each jar:
(red marbles in jar 2) / (total number of marbles in jar 2) = 9 / (9 + 1)
Now let's solve the proportion:
(red marbles in jar 2) / 45 = 9 / 10
Cross multiplying the equation, we get:
10 * (red marbles in jar 2) = 45 * 9
Dividing both sides by 10:
(red marbles in jar 2) = (45 * 9) / 10
Calculating this expression:
(red marbles in jar 2) = 405 / 10
(red marbles in jar 2) = 40.5
Since we cannot have a fraction of a marble, we round down to the nearest whole number:
(red marbles in jar 2) ≈ 40
Therefore, there are approximately 40 red marbles in jar 2.