Question

torie bought three scarves and a belt for $105 while liz bought two scarves and two belts for $98. find the cost of a scarf and a belt

Answer 1

3s+b=105 subtract 3s from both sides

b=105-3s...then we are told that:

2s+2b=98, using b found above we have:

2s+2(105-3s)=98 perform indicated multiplication on left side

2s+210-6s=98 combine like term on left side

-4s+210=98 subtract 210 from both sides

-4s=-112 divide both sides by 4

s=28, since b=105-3s

b=105-3(28)

b=105-84

b=21

So a scarf costs $28 and a belt costs $21 respectively.

The wording is a little wonky, but the cost of a scarf and a belt together is:

28+21=$49