Question

big pictures are 56$ each small ones are 34$. 97 were sold at the total of 4,376. how many big and small pictures were sold

Answer 1

The number of big pictures are 49 and number of small pictures are 48 .

Explanation:

Let us assume that the number of big pictures are x .

Let us assume that the number of small pictures are y .

As given

Big pictures are 56$ each small ones are 34$.

97 were sold at the total of $4,376.

Equations becomes

x + y = 97

56x + 34y = 4376

Multiply x + y = 97 by 56 and subtracted from 56x + 34y = 4376 .

56x - 56x + 34y - 56y = 4376 - 5432

-22y = - 1056

22y = 1056

`y = (1056)/(22)`

y = 48

Put value of y in the equation x + y = 97

x + 48 =97

x = 97 - 48

x = 49

Therefore the number of big pictures are 49 and number of small pictures are 48 .