The answer is 24 screws, 6 bolts, and 12 washers.
s - the number of screws
b - the number of bolts
w - the number of washes
<span>The cost of screws are $3.00 each: 3s
</span><span>The cost of bolts are $2.00 each: 2b
</span><span>The cost of washers are $1.0 each: 1.5w
</span><span>A hardware store makes a mixed bag of 42 items using screws, bolts, and washers: s + b + w = 42
</span><span>The mixture calls for four times as many screws than bolts: s = 4b
</span>The total cost of the mixture is $102.00: 3s + 2b + 1.5w = 102
The system of three equations:
(i) s + b + w = 42
(ii) s = 4b
(iii) 3s + 2b + 1.5w = 102
Substitute s from (ii) equation into (i) equation and express it in the term of w:
4b + b + w = 42
5b + w = 42
w = 42 - 5b
Substitute s from (ii) equation and w from (i) equation into (iii) equation:
3 * 4b + 2b + 1.5(42 - 5b) = 102
12b + 2b + 63 - 7.5b = 102
6.5b + 63 = 102
6.5b = 102 - 63
6.5b = 39
b = 39 : 6.5
b = 6
s = 4b = 4 * 6 = 24
w = 42 - 5b = 42 - 5 * 6 = 42 - 30 = 12
Answer: it is 4/3
Step-by-step explanation:
Use the slope-intercept form y=mx+b to find the slope m
.
m=43
The markdown will be $21.60. so the final price after the markdown is $68.40.
