MATH SOLVE

4 months ago

Q:
# (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.

Accepted Solution

A:

Answer:shipping cost $6 for a small box and $11 for a medium boxStep-by-step explanation:The question is on formation of simultaneous equationsAnna shipped 10sb + 6mb =$126Jeffrey shipped 5sb + 6mb=$96Let small boxes,sb, be represented by xLet medium boxes, mb, be represented by yEquations10x+6y=126------------------------(a)5x+6y=96.......................................eliminate y by subtraction5x=30.................................................divide by 5 to remain with xx=30/5= 6......................................substitute value of x in equation (a)(10Γ6) + 6y =12660+6y=1266y=126-606y=66..............................................divide by 6 both sides to get yy=66/6= 11Solutionx=6 and y=11shipping cost $6 for a small box and $11 for a medium box