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insa
 one year ago
A boy has a certain number of sweets. If he eats 16 a day, they will last him 2 days longer than if he eats 18 a day. How many sweets has he?
insa
 one year ago
A boy has a certain number of sweets. If he eats 16 a day, they will last him 2 days longer than if he eats 18 a day. How many sweets has he?

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phi
 one year ago
Best ResponseYou've already chosen the best response.1first, name the "unknowns" x = # of sweets d = # of days it takes to eat all the sweets if he eats 18 each day from those definitions, we can write the equation x= 18d (this says if you eat 18 each day for "d" days, you get the total number of sweets)

phi
 one year ago
Best ResponseYou've already chosen the best response.1If he eats 16 a day, they will last him 2 days longer this means it will take d+2 days to eat all of the sweets, and we can write 16(d+2)= x now we use both of these equations: x= 18d x= 16(d+2)

phi
 one year ago
Best ResponseYou've already chosen the best response.1from those two equations we see 18d must equal 16(d+2): 18d = 16(d+2) now solve for d. distribute the 16 on the right side: 18d= 16d + 32 now add 16d to both sides. we get 2d = 32 and d= 16 now we can find x. use either of the equations, for example x= 18d x= 18*16
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