In a toy store, the ratio of toy cars to toy planes is 4:9. If the store has 50 more toy planes than toy cars, how many toy planes are there?
Question
In a toy store, the ratio of toy cars to toy planes is 4:9. If the store has 50 more toy planes than toy cars, how many toy planes are there?
Solution
Sure, let's solve this step by step:
Step 1: Understand the problem The problem tells us that the ratio of toy cars to toy planes is 4:9. This means for every 4 toy cars, there are 9 toy planes. It also tells us that there are 50 more toy planes than toy cars.
Step 2: Set up the equations Let's denote the number of toy cars as x. According to the ratio, the number of toy planes is then 9/4 * x. According to the problem, the number of toy planes is also x + 50.
Step 3: Solve the equations We can set up the equation 9/4 * x = x + 50 and solve for x.
Step 4: Solve for x Multiplying each side by 4 to get rid of the fraction gives us 9x = 4x + 200. Subtracting 4x from each side gives us 5x = 200. Dividing each side by 5 then gives us x = 40.
Step 5: Find the number of toy planes Substitute x = 40 into the equation x + 50 to find the number of toy planes. This gives us 40 + 50 = 90.
So, there are 90 toy planes in the store.
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