Amarket sells 6 cans of food for every 7 boxes of food. the market sold a total of 26 cans and boxes today. how many of each kind did the market sell?

12 cans and 14 boxes.

Step-by-step explanation:

A/Q

6 cans are sold with 7 boxes, i.e; total of 6+7 = 13

as the market sold 26 cans and boxes, we can calculate each by dividing from the usual total.

26/13 = 2

they sold double their usual total.

so, if they normally sold 6 cans they sold its double, 6×2 = 12

the double of normal boxes would be 7×2 = 14

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions