Question

Ashima bought 23 things from the market. She bought five more jeans than shirts and two fewer watches than jeans. If x represents the number of shirts in total, then which sentence can be used to find how many of each thing are bought?
A) x + (x+5) + (x+3) = 23
B) x + (x-5) + (x-3) = 23
C) (x+5) + (x+3) = 23
D) x + (x+3) = 23

Answer 1

Hint: We can see that all the given sentences are in linear equations. Therefore, we just have to make equations accordingly as given in the question. A variable x is already assigned to the number of shirts and thus neither can it be used for other quantities nor can we use any other variable.

Complete step-by-step answer:
Total things bought = 23 (given)
Number of shirts = x (given)
Now,
—Number of Jeans = 5 more than shirt:
Jeans = x+5
—Number of watches = 2 less than jeans
Watches = (x+5) - 2
The sum of all the items is equal to the total items bought, therefore:
  (x) + (x+5) + [(x+5) – 2] = 23
       Or
 x + (x+5) + (x+3) = 23.
Therefore, sentence A) x + (x+5) + (x+3) = 23 can be used to find each thing bought by Ashima.
So, the correct answer is “Option A”.

Note: While forming linear equations, assign only one variable to any of the quantities and then find the relationship of that quantity with that of others to form the linear equation.Try enclosing the variables representing respective quantities in brackets to avoid the confusion while performing calculations.