1. Box A contains 50 cents coins and Box B contains 20 cents
coins. There are 19 more coins in Box B than in Box A but the
amount of money in Box A is $1.30 more than the amount in Box B.
How much money is in Box A?
2. A big tank had 890L of water. A small tank had 170L of water.
When an equal amount of water was added to both tanks, the big tank
had 3 times as much water as the small tank. How much water was
added into each tank?
3. Tina had a bag of rice. Her family ate an equal amount of rice
each day. After 3 days, she had 4/5 of the rice left. After another
7 days, she had 24 kg of rice left. How much rice was in the bag at
first?
4. Mrs Lee sold all her cakes in three days. On the first day, she
sold 2/3 of a cake plus 1/3 of a cake. On the second day, she sold
2/3 of the remaining cakes plus 1/3 of a cake. On the third day,
she sold 2/3 of the new remainder plus 1/3 of a cake. How many
cakes did she sell?
5. The head of a toy dog is 10 cm long. Its tail is as long as its
head plus 1/2 the length of its body. The body is as long as the
head and the tail together. What is the length of the toy dog?
1. When 19 coins are taken away from Box B, Box A and Box B will
have the same amount of coins. The total values of coins in Box A
more than Box B will become $1.30+$0.20X19=$5.10
Since each coin in Box A is worth $0.30 more than each coin in Box
B, amount of coins in Box A=$5.10/$0.30=17 coins
Hence, amount of money in Box A=17coinsX$0.50=$8.50
2. Draw out a model. You will see that 2 big units + a small unit =
890L, whereas a small unit = 170L. 1 big unit=360L after
calculations, and amount of water put in = 1 big unit - 1 small
unit=360L-170L=190L
3. Amount of rice at first=15/15. Amount of rice after 3
days=4/5=12/15. Hence, after 7 more days, amount of
rice=12/15-7/15=5/15=1/3. Thus,1/3 of the rice is 24kg, and the
total amount of rice at first = 24kgX3=72kg.
4. I am sorry, but I don't understand...
5. I don't think algebra should be used for a P6 student, but I am
sorry, as I can't think of anything else at the moment. Let the
body be x units. The tail=10+1/2x, thus the body=20+1/2x. Since
x=20+1/2x, x=40cm. Thus, the head=10cm, the body=40cm, the
tail=30cm, and the entire dog=80cm.