Knowee
Questions
Features
Study Tools

A paint supplies shop sold equal volume of yellow and blue paint yesterday. All yellow paint comes in 4-litre containers and blue paint is sold in 5-litre. A tin of yellow paint costs $28 while a tin of blue paint costs $32. What was the smallest amount of money that the shop owner could have received yesterday?

Question

A paint supplies shop sold equal volume of yellow and blue paint yesterday. All yellow paint comes in 4-litre containers and blue paint is sold in 5-litre. A tin of yellow paint costs 28whileatinofbluepaintcosts28 while a tin of blue paint costs 32. What was the smallest amount of money that the shop owner could have received yesterday?

🧐 Not the exact question you are looking for?Go ask a question

Solution

To find the smallest amount of money the shop owner could have received, we need to find the least common multiple (LCM) of the volumes of the yellow and blue paint containers, which are 4 litres and 5 litres respectively. The LCM of 4 and 5 is 20 litres. This means the shop sold at least 20 litres of each type of paint.

The cost for 20 litres of yellow paint is (20 litres / 4 litres per tin) * 28pertin=28 per tin = 140.

The cost for 20 litres of blue paint is (20 litres / 5 litres per tin) * 32pertin=32 per tin = 128.

Therefore, the smallest amount of money the shop owner could have received is 140(foryellowpaint)+140 (for yellow paint) + 128 (for blue paint) = $268.

This problem has been solved

Similar Questions

A shop sells pens and files only in packs. A pack of 7 pens cost $28. A pack of 6 files cost $30. A student wants to buy an equal number of pens and files. What is the least amount that the student must pay?

Richard wants a paintbrush that costs $2.25, a set of paints that costs $4.75, and an easel that costs $17.75. Richard already has $2.40. How much more money does Richard need?

Laurence is painting the walls and ceiling of a rectangular bedroom that is 3 m by 4.5 m. The walls are 2.5 m high.There is a window measuring 1 m by 0.8 m on one wall and a door that is 1 m by 2.3 m in another wall.If a can of paint covers 20 m2 and costs $38.95, what will it cost Laurence for paint for this bedroom?

Peter's daughter wanted to decorate her room with her favourite colour, yellow. Peter had 18 2/3 cans of yellow paint stored in the garage. He used 8 1/3 cans to paint his daughter's room. How much yellow paint did Peter have left?Write your answer as a fraction or as a whole or mixed number.

Tracy bought some cans of paint and 1/2 of a litre of special paint additive formulated to reduce mildew. Before painting her house, she used all of the additive to put 1/6 of a litre of additive in each can. How many cans of paint did Tracy buy?Write your answer as a fraction or as a whole or mixed number.

1/3

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.