Robin cross- stitches bookmarks and wall hangings . A bookmark takes her 1 1/2 days, and a wall hanging takes her 4 days. Robin recently spent 18 days cross- stitching 7 items. Solve the system of equations to find the number of bookmarks b and the number of wall hangings w that Robin cross- stitched.
1 1/2b+4w=18
b+w=7
Please help me and show your work thanks
1 1/2b+4w=18
(3/2)b + 4w = 18
times 2
3b + 8w = 36
equation #2 times 3
3b + 3w = 21
subtract them
5w = 15
w = 3
back into b+w=7
b+3=7
b=4
w=3, b=4
check::
1.5(4) + 4(3) = 18 , yeah
4+3=7, yeah
1.5 b + 4 w = 18
b + w = 7 so w = (7-b)
1.5 b + 4 (7-b) = 18
1.5 b + 28 - 4 b = 18
10 = 2.5 b
b = 4
then
w = 3
helo am spodermena dice
To solve the system of equations, we can use the method of substitution or elimination. Let's use the method of substitution:
First, let's solve the second equation for b:
b + w = 7
b = 7 - w
Next, substitute this value of b into the first equation:
1 1/2 b + 4w = 18
1 1/2 (7 - w) + 4w = 18
Now, simplify and solve for w:
10.5 - 1.5w + 4w = 18
2.5w = 18 - 10.5
2.5w = 7.5
w = 7.5 / 2.5
w = 3
Now substitute this value of w back into the second equation to find b:
b + 3 = 7
b = 7 - 3
b = 4
Therefore, Robin cross-stitched 4 bookmarks (b) and 3 wall hangings (w).