Anu bought 15 cakes and 25 pizzas. Sonu bought 30 cakes and pizzas in some number. Anu paid Rs. 50 for her purchase and Sonu paid Rs. 100 for his purchase. How many pizzas did Sonu buy?
Answers
Answer:
50
Step-by-step explanation:
Given,
Anu bought-15 cakes and 25 pizza for Rs 50
Sonu bought 30 cakes
since ,amount of 15 cakes& 25 cakes is Rs50
Then amount of 30 cakes and 50 pizzas will be Rs 100
Ans: 50 pizzas
____________
Sonu bought 50 pizzas.
Step-by-step explanation:
According to the given information, Anu bought 15 cakes and 25 pizzas and paid Rs. 50 for her purchase.
Sonu bought 30 cakes and pizzas of some number and paid Rs.100 for the entire purchase.
Now, let the number of cakes bought be x and the number of pizzas bought be y. Then 15x+25y=50 is the linear equation in the case of Anu.
Also, 30x+zy=100 is the linear equation in case of Sonu, where let z be the number of pizzas bought by Sonu
Multiplying the first equation with 2 we get,
2*(15x+25y=50)=> 30x+50y=100
Now, subtracting this equation from 30x+zy=100, we get, zy-50y=0=>
(z-50)*y=0=>z-50=0 since y can be 0. Therefore, z=50.
Hence, Sonu bought 50 pizzas.
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