A group of ladies meet for an afternoon tea party. They bring all their cats. In all, there are 26 heads and 84 feet. How many l
adies and how many cats are in the room
2 answers:
H=p+c (heads equals the sum of people and cats) since there are 26 heads:
p+c=26, solve for c, subtract p from both sides
c=26-p, now for feet...
2p+4c=f, using c found above gives you:
2p+4(26-p)=f and we are told that there are 84 feet so:
2p+4(26-p)=84 perform indicated multiplication on left side
2p+104-4p=84, combine like terms on left side
-2p+104=84 subtract 104 from both sides
-2p=-20 divide both sides by -2
p=10, and since c=26-p
c=26-10
c=16
So there are 10 people and 16 cats in the room.
X= ladies y = number of cats
<span>Each lady has 2 feet and each cat has 4 feet </span>
<span><=> </span>
<span>x + y = 26 (1) => number of characters </span>
<span>2x + 4y = 84 (2) => number of feet </span>
<span><=> operation : (1) * 2 </span>
<span>2x + 2y = 52 (1') </span>
<span>2x + 4y = 88 (2') </span>
<span><=> operation : (2') - (1') </span>
<span>2y = 26 </span>
<span><=> </span>
<span>y = 20 and x = 32- 16 = 16</span>
<span>10 ladies and 16 cats</span>
You might be interested in
Well hey...
2.25 ÷ 2.17 = 1.03 people on square miles
Answer:
solution
x=8
so,
18 .8 +75
144 +75
219
The floor wood be 81 dimensions.
Answer:
71
Step-by-step explanation:
Answer is B Step-by-step explanation:
18/9/ 36
36/ 2
18