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(HELP ASAP PLEASE)

The postal service offers flat-rate shipping for priority mail in special boxes. Today, Anna shipped 10 small boxes and 6 medium boxes, which cost her $126 to ship. Meanwhile, Jeffrey shipped 5 small boxes and 6 medium boxes, and paid $96. How much does it cost to ship these two sizes of box?

Shipping costs $___ for a small box and $___ for a medium box.

Respuesta :

lucic

Answer:

shipping cost $6 for a small box and $11 for a medium box

Step-by-step explanation:

The question is on formation of simultaneous equations

Anna shipped 10sb + 6mb =$126

Jeffrey shipped 5sb + 6mb=$96

Let small boxes,sb, be represented by x

Let medium boxes, mb, be represented by y

Equations

10x+6y=126------------------------(a)

5x+6y=96.......................................eliminate y by subtraction

5x=30.................................................divide by 5 to remain with x

x=30/5= 6......................................substitute value of x in equation (a)

(10×6) + 6y =126

60+6y=126

6y=126-60

6y=66..............................................divide by 6 both sides to get y

y=66/6= 11

Solution

x=6 and y=11

shipping cost $6 for a small box and $11 for a medium box

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