Subjects algebra

Car Price Ratio A5Fc9E

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Car Price Ratio A5Fc9E


1. **State the problem:** We have three types of cars: Suzuki Swift, Ford Fiesta, and Honda Jazz. Their prices are in the ratio $3:x:4$ respectively. 2. **Given:** - Total price of all three cars is 300000. - Price of Suzuki Swift is 90000. 3. **Set up the ratio:** Let the common ratio factor be $k$. Then: - Suzuki Swift price = $3k$ - Ford Fiesta price = $xk$ - Honda Jazz price = $4k$ 4. **Use the given price of Suzuki Swift:** $$3k = 90000 \implies k = \frac{90000}{3} = 30000$$ 5. **Use the total price to find $x$:** Total price = $3k + xk + 4k = (3 + x + 4)k = (7 + x)k$ Given total price is 300000, so: $$ (7 + x) \times 30000 = 300000 $$ 6. **Solve for $x$:** $$ 7 + x = \frac{300000}{30000} = 10 $$ $$ x = 10 - 7 = 3 $$ **Final answer:** The value of $x$ is **3**.