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snow_lady [41]
3 years ago
7

Two identical jars are filled with equal numbers of marbles. The marbles are colored red or white. The ratio of red to white mar

bles is 7:1 in Jar 1 and
9:1 in Jar 2. If there are 90 white marbles all together, how many red marbles are in Jar 2?
Mathematics
1 answer:
IrinaK [193]3 years ago
8 0
Let a=the number of white marbles in Jar 1
Let b=the number of white marbles in Jar 2
Total number of white marbles is a+b=90

Jar 1 has a white marbles and 7a red marbles so 8a marbles total
Jar 2 has b white marbles and 9b red marbles so 10b marbles total
Since both jars have equal amounts of marbles, 8a=10b

We have a system of equations:
a+b=90
8a=10b

The number of red marbles in Jar 2 is 9b so we solve for b

8a=10b
⇒a=\frac{5}{4}b
⇒\frac{5}{4}b+b=90
⇒\frac{9}{4}b=90
⇒b=40
Number of red marbles in Jar 2 is 9b=360

So there are 360 red marbles in Jar 2.
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