Question

Diane counted 100 legs on 28 pieces of furniture she saw in a catalog. She saw stools with 3 legs and beds with 4 legs. Build a system of equations that can be used to find how many of each piece of furniture she saw.

Answer 1

let "x" equal the number of stools she saw
let "y" equal the number of beds she saw

now because stools only have 3 legs, then the number of stool legs she saw can be represented as 3x
because the beds have 4 legs, the number of bed legs she saw can be represented as 4y

she saw a total 100 legs and 28 pieces of furniture

are you able to piece together the system of equations from this information?

Answer 2

not really

Answer 3

ok then what does "x+y" represent?
and what does "3x+4y" represent?

Answer 4

x=stools
y=beds

Answer 5

so (x+y) = ?

Answer 6

stools and beds

Answer 7

the total number of stools and bed which is same as the amount of furniture she saw

since she saw a total of 28 pieces of furniture
that would mean x+y =28

Answer 8

the answer is 28