You are watching: What number is 4 times as many as 25
"maria has 4 time as countless necklaces as sheila". This sentence i do not care an equation by utilizing symbols rather of lengthy strings the words. That is usually the hardest step, and the most crucial one, because you need to get your relationship correct in the beginning. To me, this sentence equates to M = 4S. In grade school, we are taught to look because that clue words, but we deserve to just as quickly reword the difficulty so we check out the reservation words us are acquainted with. Where is the equal authorize found, because that example? How around I to speak "the number of necklaces maria has IS 4 times as countless as the number of necklaces the sheila has"? That"s wherein I get the equation, M = 4S. The following step: The shortening of lengthy strings of text into a solitary letter is a issue of convenience. Rather of "the variety of necklaces maria has", why no save space and octopus by writing M? As long as i understand what that stands for! in this problem, names room given, so go ahead and also use their initials because that variables - it helps you establish what you room counting. Try to imagine the world in the problem, and the items we room counting, and get a visual image. Don"t spend too much time sketching yet give you yourself a little picture to go with the problem. Finally, if girlfriend go earlier and look in ~ the first equation M=4S, there room 2 unknowns. Among the very first rules that algebra is - you need a distinctive equation because that each variable current in bespeak to deal with the problem. So if we look in ~ the equation m=4s, it only tells united state that maria has actually 4 times as numerous as sheila. For all we know, maria might have 400 and also sheila might have 100. So we need another equation. 2 equations for 2 unknowns, 3 because that 3, and so forth. No one can ever before write a word trouble that gets approximately that. It"s an algebra thing and also all we can do is obey the math. Therefore looking ago at the problem, we view that M + S = 25 or in English, the number of necklaces maria has actually plus the number of necklaces sheila has is same to 25........ Ok currently what? we collection up our equations but we have actually 2 separate equations and no answer.....think think think five YEAH! SUBSTITUTION!! friend see, us all get an extremely excited as soon as we close to the end. All we have to do is look at our 2 equations and ask ourselves - is there a way to do one equation the end of the 2 i have, wherein i only have actually one variable? due to the fact that otherwise i"m tho stuck. Let"s take it the equation M=4S. Ready? usage the expression "4S" instead of M, and also in the 2nd equation, we deserve to rewrite it together 4S + S = 25. Or in various other words, 5S = 25. Which method that S = 25/5, or 5. I m sorry then method that M is 4*5, or 20.
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Go ago and check out the problem using the numbers you figured out. Both equations have to work.