Here are the step-by-step solutions for each problem on the worksheet.
1. A bus travels 350 km in 4 hours (with a constant speed). How far can it travel in 7 hours (with the same speed)?
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Step 1: Find the speed of the bus per hour.
$$350 \text{ km} \div 4 \text{ hours} = 87.5 \text{ km/hour}$$
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Step 2: Multiply the speed by the new time (7 hours).
$$87.5 \times 7 = 612.5$$
2. If two water towers can hold 905 gallons of water, how much water can 11 water towers can hold?
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Step 1: Find how much water one tower holds.
$$905 \div 2 = 452.5 \text{ gallons}$$
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Step 2: Multiply that amount by 11 towers.
$$452.5 \times 11 = 4977.5$$
3. If it takes four moving trucks to move 48 boxes, how many trucks are needed to move 840 boxes?
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Step 1: Find out how many boxes fit in one truck.
$$48 \text{ boxes} \div 4 \text{ trucks} = 12 \text{ boxes per truck}$$
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Step 2: Divide the total number of boxes (840) by the number of boxes per truck (12) to find the number of trucks needed.
$$840 \div 12 = 70$$
4. A factory can produce 60 TV in 7 days. How long does it take to finish 400 TVs?
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Step 1: Set up a proportion or find the rate. Let's use division to find how many "sets" of 60 TVs are in 400.
$$400 \div 60 = 6.666...$$
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Step 2: Since each set of 60 TVs takes 7 days, multiply that result by 7.
$$6.666... \times 7 = 46.666...$$
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Step 3: Round to 2 decimal digits as requested.
$$46.67 \text{ days}$$
5. 500 lemons were packed in 8 boxes. How many lemons can be packed in 20 boxes?
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Step 1: Find how many lemons are in one box.
$$500 \div 8 = 62.5 \text{ lemons}$$
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Step 2: Multiply the lemons per box by 20 boxes.
$$62.5 \times 20 = 1250$$
6. A pack of four cans of coffee cost $10.90. How much would 17 cans of coffee cost?
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Step 1: Find the cost of a single can.
$$\$10.90 \div 4 = \$2.725 \text{ per can}$$
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Step 2: Multiply the cost per can by 17 cans.
$$\$2.725 \times 17 = \$46.325$$
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Step 3: Round to 2 decimal digits (money).
$$\$46.33$$
Final Answer:
1. 612.5 km
2. 4977.5 gallons
3. 70 trucks
4. 46.67 days
5. 1250 lemons
6. $46.33
Parent Tip: Review the logic above to help your child master the concept of word problems with decimals worksheet.
