A restaurant sells large and small submarine sandwiches Roll

A restaurant sells large and small submarine sandwiches. Rolls for the sandwiches are ordered from a baker. The roll for a large sandwich costs $0.25 and the roll for a small sandwich costs $0.15. Melissa, the manager of the restaurant, ordered 130 more large rolls than small rolls. What was the greatest number of large rolls she received if she spent less than $63?

Solution

Here let total large sandwich are x and small sandwich are y. Then according to first condition,

large rolls = small rolls + 130

or y=x-130           ........(i)

and als othat

total cost of x rolls + total cost of y rolls = 63

so 0.25x +0.15 y = 63

0.25x + 0.15(x-130 ) = 63

or 0.25x + 0.15x - 130(0.15) = 63

or 0.4x - 19.5= 63

or 0.4x= 63 + 19.5 = 82.5

or x= 82.5/ 0.4 =206.25

that means total 206 large rolls she received.

This is the answer of first question.