There are black and white counters in a bag in the ratio 7:9There are 4 more white counters than black counters.How many white counters are there?
Question
There are black and white counters in a bag in the ratio 7:9There are 4 more white counters than black counters.How many white counters are there?
Solution
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First, let's understand the problem. We know that the ratio of black to white counters is 7:9 and that there are 4 more white counters than black counters.
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Let's represent the number of black counters as 7x and the number of white counters as 9x.
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According to the problem, there are 4 more white counters than black counters. So, we can write the equation as 9x = 7x + 4.
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To solve for x, we subtract 7x from both sides of the equation, which gives us 2x = 4.
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Then, we divide both sides of the equation by 2 to solve for x, which gives us x = 2.
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Now that we know x = 2, we can find the number of white counters by substituting x into the equation 9x, which gives us 9*2 = 18.
So, there are 18 white counters.
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