Homework Help: Math

Posted by Carly on Saturday, February 25, 2012 at 8:46pm.

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

Math - Reiny, Saturday, February 25, 2012 at 8:54pm
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
Math - Damon, Saturday, February 25, 2012 at 8:57pm
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

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