### Chap 5 Algebra: 6 A.M. QUIZ (23 May 2010) (III)

Create a real-life story that could be explained by the equation
2x + 3 = 10

Note: This is a 2-mark question.

1. Redshirts in Bangkok, Thailand, are running out of rations in their riots against the government. The last battle had left them bloodied and bitter. They were raiding through the last of their supplies, only to uncover 2 first-aid boxes.

Both boxes had 3 bottles and a half of antiseptic each, and from the general store some men plundered the store for 3 more identical bottles of the antiseptic, thus having 10 bottles of antiseptic in all.

2. One day, Little Red Riding Hood was preparing cookies to be brought to her grandmother's house. After baking the cookies, she realised that 3 of the 10 cookies she baked were burnt. Therefore, she threw them away. She wanted to place the 7 cookies into 2 boxes. However, she realised that it would not be equal if she put 4 into one and 3 into the other. So, she decided to break one cookie into half, which will let her put an equal amount of cookies into each box. On her way to her grandmother's house, she found 3 cookies on the floor.

Therefore in total she have 10 cookies(2(3.5) + 3)!~

JJ(:

3. Since my house ran out of flour, i went to the supermarket to get some. Upon reaching there, the price of one packet is 2 and i bought x number of packets. I also bought a packet of chips that cost 3 dollars. In total, i spent 10 dollars

4. Create a real-life story that could be explained by the equation
2x + 3 = 10

My pen ran out of ink, so I went to Popular bookshop to buy the refill. Upon reaching there, I found out that there was a sale and each refill costs \$x. I immediately took 2. Then, I realised that I ran out of correction tape as well, so I went to get one, costing me another \$3. So altogether I paid the cashier \$10.

\$x=\$3.50
2(\$3.50)+3=10.

5. First, find out what is the value of "x", which is (10-3)/2 = 3.5 .

So here's the story :

One day, my mother allowed me to play computer games for x hours, but I bargained with her for 2x hours. She agreed with it. When she was about to leave the house, her friend wanted to meet up with her, so she allowed me to play another 3 hours of computer games. In total, I played 10 hours of computer games.

6. 2x + 3 = 10
x=3.5

Story:
I have \$3 of pocket money daily. However, I would need to purchase my dinner from the coffee shop downstairs as my parents would not be home today. Hence, each of them gave me \$3.50. Hence, I left the house with \$<(3.50x2)+3>. This would amount up to \$10.

7. 2x + 3 = 10
x = \$3.50

Story:

One day I went to the supermarket with my mum. I saw a pack of chocolates costing \$3.50 which I immediately took a pack and placed in the basket. My mum suggested getting another pack for my brother, who also loves chocolates. Then, after reaching the cashier, I spotted a box of candies costing 3\$ which I loved. Hence I paid \$10 to the cashier.

8. Story:

One day a farmer bought two trucks of sheep. They were supposed to have 4 and 3 respectively. However he did not know that there was a extra 3 for every 6 bought. Thus he had 10 sheep in total.

9. Bryancompany was having a promotion that no company has...
For every 2 sets of 3.5 dollars i earn, i will earn 3 dollars more
So 2x+3=(2x3.5)+3
=10

10. A philanthropist was donating money at the end of the year. He donated 3.5 million dollars to a charity and donated the same amount to another charity. After receiving a bonus and a raise from work, he then donated another 1.5 million dollars to each of the two charities.

Therefore, 2x+3 = ( 2 x 3.5 ) + 3
= 10

11. 2x + 3 = 10

A psychologist treated a patient on monday and one on tuesday, which he charged \$3.5 per treatment and an extra \$1.5 per person on weekdays.

Thus,

(2 x \$3.50) + 3
= \$10

12. 10 = 2x + 3
10 - 3 = 7
7 ÷ 2 = 3.5
x = 3.5

John was going to organise a party. However, on the last day, he realised he was missing 2 packets of ice. 1 packet of ice cost \$x at the supermarket. John bought 2 packets of ice, as well as 3 bottles of drinks on promotion for \$1 each.

Thus,
\$[2x + (3x1)] = \$(2x + 3)
= \$10

13. 2x+3 = 10
10-3=7
7 = 2x
x = 3.5

Story:

Jessica was recording down the volume of the music that she has recorded. According to her results, 3 of the beats sounded at Volume 1, and 7 beats sounded at Volume 4.

Therefore,
7 = 2x
2x+3 = 10

14. My Mum had sent me for some errands.She asked me to go to the supermarket and buy some butter .They were selling 2 butter tubs for \$3.50.I also bought some packets of Vitagen which costed me \$3. The total bill was \$10

15. I was in Popular book store to look for a pack of colour pencils and three packs of staples. However, I discovered that they had a 30% discount for each pack of colour pencils so I decided to buy 2 packs. The discounted price of each pack of colour pencils was \$3.50 and \$1 for each pack of staples. The total cost of all the items was \$10.

\$(2x) + \$3 = \$(2 x 3.5) + \$(1 x 3)
= \$10

16. 2x+3=10

I went to NTUC and wanted to buy soya bean milk. The original price of it was 4 dollars each and there was a promotion going on, which was 2 for 7 dollars. I decided to get two packet of the soya bean milk. After that, I bought a loaf of bread which cost 3 dollars. I had spent \$10 in total.

17. I woke up at 6 am this morning. But I was realy very tired and cannot get myself out of the bed. so I decided to sleep for another x min. After x min, I was still very tired so I decided to rest for another x min. After 2x min, I was still tired. So I rest in bed for another 3 min before waking up and go for wash up.

In total, I wake up 2x + 3 min late for wash up.

18. Today, I went to school. I am left with \$3.50. My friend had a bet with me: if England won Germany, I would have to give him \$3.50. But Germany won. So he gave me \$3.50. On the way home I saw an old lady trying to cross the road. I helped her. When I arrived home, I told my mother about what I had done. She rewarded me with \$3. Therefore I got: 2 x \$3.50 + \$3 = \$10 today.

19. 2x + 3 = 10

The boss of company ABC was very particular about punctuality. He had just hired a group of workers and they were under the observation of the boss.

On the first day of work, 3 new clerks were late and each one was late for 1 minute.

A few minutes later, 2 late workers arrived. The boss frowned with unhappiness and as he took a look at his watch, he found out that the 2 workers were exactly 2.5minutes later than the previous 3 clerks.

So, by adding the number of minutes that the 5 workers were late, the answer will be:

2x3.5 (min)+3(min)=10(min)