Worked-out Problems
Worked-out Problems
Worked-out Problems
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Chapter 3 continued<br />
27. a. Let x the number of flocks of chicks.<br />
Total Cost of Cost per flock Flocks of<br />
p<br />
amount heifer of chicks chicks<br />
755 500 20x<br />
755 500 500 20x 500<br />
255 20x<br />
2 55<br />
2 0x<br />
<br />
20<br />
20<br />
12.75 x<br />
So, your class can buy 12 flocks of chicks.<br />
b. Let x the number of pigs.<br />
Total Cost of Cost per Number<br />
p<br />
amount heifer pig of pigs<br />
755 500 120x<br />
755 500 500 120x 500<br />
255 120x<br />
2 55<br />
1 20x<br />
<br />
120<br />
120<br />
2.125 x<br />
So, your class can buy 2 pigs.<br />
c. No. Sample answer: The cost of 1 heifer and<br />
2 pigs is $500 2($120) 740. So, there is<br />
$755 $740 $15. This is not enough to buy<br />
a flock of chicks.<br />
28. 54.7 9.3n 8.2<br />
54.7 8.2 9.3n 8.2 8.2<br />
46.5 9.3n<br />
46.<br />
5<br />
9.3n<br />
<br />
9.<br />
3 9.3<br />
5 n<br />
Check: 54.7 9.3n 8.2<br />
54.7 9.3(5) 8.2<br />
54.7 54.7 ✓<br />
29. 5.7 2.6d 14.02<br />
5.7 2.6d 5.7 14.02 5.7<br />
2.6d 8.32<br />
2 .6d<br />
8.<br />
32<br />
<br />
2.6<br />
2.<br />
6<br />
d 3.2<br />
Check: 5.7 2.6d 14.02<br />
5.7 2.6(3.2) 14.02<br />
14.02 14.02 ✓<br />
72 Pre-Algebra<br />
Chapter 3 <strong>Worked</strong>-Out Solution Key<br />
30. 3.2r 14.7 6.74<br />
3.2r 14.7 14.7 6.74 14.7<br />
3.2r 21.44<br />
3 . 2<br />
3.<br />
r<br />
2<br />
2 1.44<br />
3 <br />
.2<br />
r 6.7<br />
Check: 3.2r 14.7 6.74<br />
3.2(6.7) 14.7 6.74<br />
6.74 6.74 ✓<br />
31. 9.1 3<br />
k<br />
.7 4.1<br />
k<br />
9.1 4.1 4.1 4.1<br />
3 .7<br />
k<br />
5 3 .7 <br />
3.7(5) 3.7 3<br />
k<br />
.7 <br />
18.5 k<br />
k<br />
Check: 9.1 3 .7 4.1<br />
9.1 1 8.<br />
5<br />
4.1<br />
3.<br />
7<br />
9.1 9.1 ✓<br />
32. 11.3 2<br />
p<br />
.8 1.5<br />
p<br />
11.3 11.3 1.5 11.3<br />
2 .8<br />
p<br />
2 .8 9.8<br />
2.8 2<br />
p<br />
.8 2.8(9.8)<br />
p 27.44<br />
p<br />
Check: 11.3 2 .8 1.5<br />
11.3 27 . 44<br />
<br />
2.<br />
8<br />
1.5<br />
1.5 1.5 ✓<br />
33. 6.8 1<br />
c<br />
.2 2.9<br />
c<br />
6.8 6.8 2.9 6.8<br />
1 .2<br />
c<br />
1 .2 3.9<br />
1.2 1<br />
c<br />
.2 1.2(3.9)<br />
c 4.68<br />
c<br />
Check: 6.8 1 .2 2.9<br />
6.8 ( 4.<br />
68)<br />
<br />
1.<br />
2<br />
2.9<br />
2.92.9 ✓<br />
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