The secret to doing word problems is in finding the constant. For example, if Joe and Mary walk a total of 12 miles and Mary walks twice as far as Joe, how far does she walk?

Don’t pay attention to Mary yet. Joe is the one to focus on.

Let the distance Joe walks be x. Now look at Mary. Mary walks twice as far, so she walks 2x. You already know that the total of 2x and x is 12 miles, so you draw up your equation

x+2x=12

3x=12

Clear for x by dividing each side by 3

x=4

So you discover that Joe walks four miles and Mary walks eight and if you add them together, they total 12.

Hope this helps.

once you attempt to sparkling up such questions, attempt to first translate it to math progressively, one ingredient at a time. one million) For the 1st concern there are 2 statements (records): a) lets say kelly rode ok miles and jon rode j style of miles. So, the style of miles kelly rode is okay the style of miles jon rode is j. two times that quantity could be represented as 2j 3 miles under 2j could be written as “2j – 3” making use of the above, we can write the fact as: ok = 2j – 3 b) the completed of what kelly rode (ok) and what jon rode ( this is j) is 40 8. we can write it as: ok + j = 40 8 So, we’ve 2 equations, and we could desire to discover out 2 values. Is the coincident? No. Your math concern became worded in one in each and every of those style which you will have 2 equations to sparkling up 2 variables. besides, we’ve: ok = 2j – 3 ok + j = 40 8 sparkling up the two equations via plugging for the cost of ok in 2nd equation: 2j – 3 + j = 40 8 3j – 3 = 40 8 3j = fifty one j = 17 j = style of miles jon rode, So your Jon rode 17 miles Kelly and Jon mutually rode 40 8 miles. If Jon rode 17 miles, how lots did Kelly experience? 2) lower back, convert the worded concern to math progressively: we could call the cost of gold bracelet = G Silver braclelet = S in case you like necklace or jewelry, think of of those, no concern, the respond will nonetheless be the comparable. a) First fact says: “G” is 20 + 3S b) 2nd statment says: G + S = 320 So, we’ve 2 equations to sparkling up for 2 values: G = 20 + 3S G + S = 320 You do the mathematics. the respond could desire to be: value of Gold jewelry = $245 value of Silver ones = $seventy 5 Wow! Gold is only too high priced than silver. yet you comprehend Gold looks greater alluring than Silver ones too.