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# There are 3 orchards, a, b and c. Orchard a has 60 fewer trees than orchard b orchard c has 3 times as many trees as orchard b. If the three orchards have 430 trees altogether, how many trees does orchard c have?

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## Answer to a math question There are 3 orchards, a, b and c. Orchard a has 60 fewer trees than orchard b orchard c has 3 times as many trees as orchard b. If the three orchards have 430 trees altogether, how many trees does orchard c have?

Andrea
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STEP BY STEP SOLUTION: Let's denote the number of trees in orchard b as B. According to the information given: 1. Orchard a has 60 fewer trees than orchard b, so the number of trees in orchard a is $B - 60$ . 2. Orchard c has 3 times as many trees as orchard b, so the number of trees in orchard c is $3B$ . The total number of trees in the three orchards is 430: $$B - 60$ + B + 3B = 430$ Combine like terms: $5B - 60 = 430$ Add 60 to both sides: $5B = 490$ Divide by 5: $B = 98$ Now that we know the number of trees in orchard b $$B = 98$$ , we can find the number of trees in orchard c: $\text{Orchard c} = 3B = 3 \times 98 = 294$ ANSWER: So, orchard c has 294 trees.
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