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14. A boy bought some sweets at 5 each and some samosas at 3 each. The number of sweets
and samosas added up to 25, and he paid 95. Find the individual number of sweets and
samosas he bought.
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Answer:
Number of sweets = 10
Number of samosas = 15
Step-by-step explanation:
Step 1 of 4:
Let number of sweets = and number of samosas = .
Cost of 1 sweet = Rs.5/- ; Cost of 1 samosa = Rs.3/-
Therefore,
Cost of sweets = ; Cost of sweets = .
Step 2 of 4:
Given that:The number of sweets and samosas added up to 25.
Frame the equation: -------- (1)
Also given that he paid Rs. 95 (Cost of 5 sweets + cost of 3 samosas is Rs. 95)
i.e., -------- (2)
Step 3 of 4:
Now we have two equations. Just solve to find and .
Muliply equation (1) by 3 and solve.
Multiply by minus.
Cancel .
We get .
Hence (number of sweets)
Step 4 of 4:
Now substitute in and solve for .
(number of samosas)
Hence ,
Number of sweets = 10
Number of samosas = 15
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