1.There were 192 oranges and melons in a box. Mr Liu removed 2/5 of the oranges from the box and he added 24 melons into the box. As a result, there was an equal number of oranges and melons left in the box.

How many more oranges than melons were there in the box at first ?

2. There are some yellow and green balls in a basket.

The sum of 3/8 of the number of yellow balls and all the green balls is 430. The sum of 1/2 of the number of yellow balls and 1/4 of the number of green balls is 192. How many green balls are there in the basket ?

3. Starting from the same position on a straight road, Timothy and Michael jogged in the opposite direction. With Timothy jogging at an average speed of 1.6 km/h slower than Michael, the two men were 4.2 km apart after jogging for 45 minutes. Find the average speed of Michael. (Give your answer in km/h).

4. Mrs Tan had 98 pieces of $10 notes and $50 notes in her piggy bank.

She took out 3/4 of the $50 notes and put in another ten $10 notes.

As a result, the number of $10 notes was five times the number of $50 notes.

What was the total value of money she had in her piggy bank at first?

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ReplyDelete1.There were 192 oranges and melons in a box. Mr Liu removed 2/5 of the oranges from the box and he added 24 melons into the box. As a result, there was an equal number of oranges and melons left in the box.

How many more oranges than melons were there in the box at first ?

2. There are some yellow and green balls in a basket.

The sum of 3/8 of the number of yellow balls and all the green balls is 430. The sum of 1/2 of the number of yellow balls and 1/4 of the number of green balls is 192. How many green balls are there in the basket ?

3. Starting from the same position on a straight road, Timothy and Michael jogged in the opposite direction. With Timothy jogging at an average speed of 1.6 km/h slower than Michael, the two men were 4.2 km apart after jogging for 45 minutes. Find the average speed of Michael. (Give your answer in km/h).

4. Mrs Tan had 98 pieces of $10 notes and $50 notes in her piggy bank.

She took out 3/4 of the $50 notes and put in another ten $10 notes.

As a result, the number of $10 notes was five times the number of $50 notes.

What was the total value of money she had in her piggy bank at first?

Thanks Devesh.

ReplyDeleteTHANKS DEVESH!!!

ReplyDeleteAnswers:

ReplyDeleteQ1. There were 72 more oranges than melons at first.

Q2. There are 352 green balls in the basket.

Q3. The average speed of Michael was 3.6km/h.

Q4. The total value of money she had in her piggy bank at first was $2900.

Wait... for question 1 I get 78! There's no calculation error for sure, and my mother gets the same results with algebra. Is there a worked solution for this?

ReplyDeleteAnswer for Q1 is 78. Apologies.

ReplyDelete@Mdm Toh - phew! that's relief. I got a bit scared when Devesh put my name there - would be embarassing if I had to own up to a careless mistake in Maths once again! Made me check my workings a few times :-)

ReplyDeleteMrs Logendran