A market sells soup in 6-ounce cans and 12-ounce cans. On Tuesday, the market sold a total of 420 ounces of soup in 44 cans. The system of equations below represents this situation
6x + 12y = 420
x + y = 44
How many 6-ounce cans of soup did the market sell on Tuesday?
Enter your answer in the box.

The market sold 18 6-ounce cans of soup on Tuesday

Step-by-step explanation:

Let us solve the question

- The number of the 6-ounce cans is x

- The number of 12-ounce cans is y

- 6x + 12y = 420

→ Divide each term by 6 to simplify the equation

- x + 2y = 70 ⇒ (1)

- x + y = 44 ⇒ (2)

→ Subtract equation (2) from equation (1)

- (x - x) + (2y - y) = (70 - 44)

- 0 + y = 26

- y = 26

Substitute the value of y in equation (2) to find the value of x

-x + 26 = 44

→ Subtract 26 from both sides

- x + 26 - 26 = 44 - 26

- x = 18

- x represents the number of the 6-ounce cans

- The market sold 18 6-ounce cans of soup on Tuesday

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.