Word Problems on Percentages and Proportions

Mrs. Groovy Groves guides students through various math problems involving percentage calculations. The video covers topics such as calculating the markup price of musical instruments, determining the original price from a marked-up price, verifying markup percentages, calculating restaurant tips, analyzing gold price increases, checking proportional relationships, and solving a problem about cherries picked by two individuals. Each section provides step-by-step explanations and uses practical examples to illustrate the concepts.

If a store buys a guitar for $45 and marks it up by 30%, what will be the selling price?

• $57.50

• $60.00

• $59.00

• $58.50

A trumpet is sold for $104 after a 30% markup. What was the original price?

• $80

• $85

• $95

• $90

A clarinet was bought for $75 and sold for $100. Was the markup exactly 30%?

• Yes, it was exactly 30%

• No, it was 33.33%

• Yes, it was 35%

• No, it was 25%

A family spends $49.77 at a restaurant, including a tip, on a $42 bill. How much was the tip?

• $7.77

• $6.77

• $8.77

• $5.77

What percentage of the bill was the tip if the bill was $42 and the tip was $7.77?

• 20%

• 15%

• 25%

• 18.5%

The price of gold increased from $513 to $1060 over a decade. By what percentage did it increase?

• 150%

• 207%

• 100%

• 107%

Is there a proportional relationship between steps taken and distance traveled if 1 step equals 950 units and 3 steps equal 2852 units?

• No, it is exactly proportional

• Yes, it is proportional

• No, it is not proportional

• Yes, but only for certain values

Noah picked 3 kg of cherries, and Mai picked half as many. How many kg did they pick together?

• 3.5 kg

• 4.5 kg

• 4 kg

• 5 kg

If Mai picked half as many cherries as Noah, who picked 3 kg, how many kg did Mai pick?

• 1.5 kg

• 2 kg

• 2.5 kg

• 1 kg

In a table showing steps and distance, if 1 step equals 950 units, what should 3 steps equal for a proportional relationship?

• 2853 units

• 2850 units

• 2852 units

• 2851 units