In a particular shop, only red shoes and blue shoes are available for sale. During one week, the shop sold x red shoes and y blue shoes. If 3/5 of the total shoes sold that week were red, which of the following expressions represents the value of y, in terms of x?
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thanks for the answer
appreciated!
wait can someone explain why it's not just x/5? I keep getting confused on the setup
you have to use the fact that red is 3/5 of the total, so blue is 2/5. set up the ratio of blue to red and it falls out
ohhh okay so the 2/5 is the key, that makes sense now thanks
I plugged in x=3 and y came out to 2, then checked the answer choices. super quick, good tip for these fraction problems
nice, plugging in numbers is clutch when the algebra looks messy
What it tests
Your ability to convert between fractions, ratios, and decimals and to reason proportionally.
Common trap
Cross-multiplying incorrectly or mixing up the ratio parts — a part:part ratio is not a fraction of the whole.