Please help me on these problem solving sums. Also show the rough work and answer.
First question: If 15% of the children walk to school, 7% cycle to school and 30% come by bus, what percentage come by car ?
2. How much for forty steel nails at €2.50 per 100 ?
3. What is the value of "y" if y + 5 =21+5?
4. If you subtract an odd number from an odd number, is the answer an odd number or an even number?
5. A country newsagent sells 60 newspaper on a Sunday and an average of 25 newspaper each of the other days. What is her daily average for the whole week?
6. €10 is divided in the ratio 1:3. How much is the larger share?
100 - 15 - 7 - 30
40 (2.5/100)
y + 5 - 5 = 21 + 5 - 5
3-1 = 2
(60 + 6*25) /7
1 x + 3 x = 4 x = 10
x = 10/4 = 5/2
3 x = 15/2 = 7.5
Sure, I can help you with these problem-solving questions. Let's go step by step:
First question: If 15% of the children walk to school, 7% cycle to school, and 30% come by bus, what percentage come by car?
To find the percentage of children who come by car, we need to subtract the percentages of children who walk, cycle, and come by bus from 100%.
Percentage of children who come by car = 100% - (15% + 7% + 30%)
= 100% - 52%
= 48%
Therefore, 48% of the children come by car.
2. How much for forty steel nails at €2.50 per 100?
To find the cost of forty steel nails, we need to calculate the cost per nail and then multiply it by the number of nails.
Cost per nail = €2.50 / 100 nails
= €0.025 per nail
Cost of forty steel nails = €0.025 per nail * 40 nails
= €1.00
Therefore, the cost of forty steel nails is €1.00.
3. What is the value of "y" if y + 5 = 21 + 5?
To find the value of "y", we need to simplify the equation by performing the operations on both sides.
y + 5 = 21 + 5
y + 5 = 26
Now, subtract 5 from both sides of the equation:
y = 26 - 5
y = 21
Therefore, the value of "y" is 21.
4. If you subtract an odd number from an odd number, is the answer an odd number or an even number?
When you subtract an odd number from another odd number, the result is always an even number.
5. A country newsagent sells 60 newspapers on a Sunday and an average of 25 newspapers each of the other days. What is her daily average for the whole week?
To find the daily average for the whole week, we need to add up the total number of newspapers sold in a week and then divide it by 7 (the number of days in a week).
Total number of newspapers sold in a week = 60 newspapers on Sunday + (25 newspapers * 6 days)
= 60 + (25 * 6)
= 60 + 150
= 210 newspapers
Daily average for the whole week = Total number of newspapers sold in a week / 7 days
= 210 newspapers / 7
= 30 newspapers
Therefore, the daily average for the whole week is 30 newspapers.
6. €10 is divided in the ratio 1:3. How much is the larger share?
To find the larger share, we need to find the fractional part of €10 that corresponds to the ratio 3.
The total ratio value is 1 + 3 = 4.
The larger share is 3/4 of €10.
Amount of the larger share = (3/4) * €10
= €7.50
Therefore, the larger share is €7.50.
I hope that helps! Let me know if you have any more questions.
Sure! Let's solve each problem step by step.
1. To find the percentage of children who come by car, we need to subtract the percentages of children who walk, cycle, and come by bus from 100%. So, the percentage of children who come by car would be:
Car percentage = 100% - (15% + 7% + 30%)
Car percentage = 100% - 52%
Car percentage = 48%
Therefore, 48% of the children come by car.
2. The given price is €2.50 per 100 steel nails. We need to find the cost of forty steel nails. We can set up a proportion to solve this problem:
€2.50 / 100 nails = X / 40 nails
Cross-multiplying, we have:
€2.50 * 40 nails = 100 nails * X
€100 = 100 nails * X
Dividing both sides by 100 nails, we get:
€100 / 100 nails = X
€1 = X
Therefore, the cost of forty steel nails is €1.
3. To find the value of "y," we can solve the given equation:
y + 5 = 21 + 5
Simplifying:
y + 5 = 26
Subtracting 5 from both sides:
y = 26 - 5
Therefore, the value of y is 21.
4. When you subtract an odd number from another odd number, the result will always be an even number. For example, 3 - 1 = 2, 5 - 3 = 2. Therefore, the answer is an even number.
5. To find the daily average for the whole week, we need to find the total number of newspapers sold in a week and then divide it by 7 (the number of days in a week). The calculation would be:
Total number of newspapers sold in a week = (60 newspapers on Sunday) + (25 newspapers each day for 6 days)
Total number of newspapers sold in a week = 60 + (25 * 6)
Total number of newspapers sold in a week = 60 + 150
Total number of newspapers sold in a week = 210
Daily average = Total number of newspapers sold in a week / Number of days in a week
Daily average = 210 / 7
Daily average = 30
Therefore, the daily average for the whole week is 30 newspapers.
6. If €10 is divided in the ratio 1:3, the total ratio parts will be 1 + 3 = 4. To find how much the larger share is, we can divide €10 by the total ratio parts (4) and then multiply it by the ratio part for the larger share (3). The calculation would be:
Larger share = (€10 / 4) * 3
Larger share = (€2.50) * 3
Larger share = €7.50
Therefore, the larger share would be €7.50.
I hope this helps! Let me know if you have any further questions.