Mr.Edstrom had a budget of $1500 to spend on a table and 6 chairs. The total price was $249 under her budget amount. The table cost 3 times as much as a chair. What was the price of the table?
First off, you will have to know how much she spent. so she had 1500, and the total price was 249 under her budget (1500-249). This equals $1,251 Now you have to make it equal $1,251 The table was 3 times as much as the chair, so let c be the cost of thechair and 3c be the cost of the table table. (because the table was 3 times more expensive) You now have something that looks like this c + 3c = 1251 Combine like terms 4c = 1251 Divide 4c/4 = 1251/4 this gives you 312.75 = c, this is the cost of the chair now that you have the cost of the chair, you can know how much the table costs, because in relation to the chair, the table cost three times more. so... 312.75 x 3 = 938.25 The table cost 938.25
Okay, first of all you know that he has $1500 and has $249 leftover, so to calculate the amount she has spent, do this: 1500 - 249 = 1251 So now you know she has used $1251. Next we figure out what she spent it on, which are the 6 chairs and the 1 table that costs 3 times the chairs. Once we figure that out, we start to sub the chairs and tables for letters. We know the chair is the cheaper one, so let chairs be X. And we know the table is 3 times the cost, so let the table be 3X. Now, we have something that looks like this: Chairs = X Table= 3X So now we can for an equation, we know that there are 6 chairs, so 6 times X is 6X. And there is only one table so it remains as 3X. To find the total cost of everything we have to add 6X and 3X. So the formula looks like: 6X + 3X =1251 We can add the Xs together, so it becomes: 9X = 1251 X = 1251/9 X=139 Now we know that the cost of a chair is $139, and the cost of a table is three times that so: 3 x 139 = 417 The cost of a table is $417.
Make the chair price = x Then the table price = 3x So, the chair price times 6 of them plus the table price (3x) must equal 1500 minus 249. In other words: 6x + 3x = 1500-249 9x = 1251 x = 139 Now, remember, x represents the chair price, but the problem asks for the table price. You must multiply x by 3 3x = 3(139) = $417 Amanda - you only accounted for one chair, not 6.
