Two grades of coffee one costing sh.42 per kilogram and the other costing sh.47 per kilogram are to be mixed in order to produce a blend worth sh.46 per kilogram in what proportion should they be mixed. (3mks)Worked Answer: John bought 3 brands of tea A, B and C. The cost of the three brands was sh. 25, sh. 30 and sh. 45 per kilogram respectively. He mixed the three brands in the ratio 5 : 2 : 1 respectively. After selling the mixture he made a profit of 20%.a) How much profit did he make per kilogram of the mixture? (4mks)b) After one year the cost price of each brand was increased by 12%.i) For how much did he sell one kilogram of the mixture to make 20% profit%, give your answer to the nearest 5cts (3mks)ii) What would have been his percentage profit if he sold one kilogram of the mixture at sh. 40.25? (3mks)
Worked Solution:
Form 1 Mathematics
Two types of flour, X and Y, cost Ksh60 and Ksh 72 per kilogram respectively.
The two types are mixed such that the cost of a kilogram of the mixture is Ksh 70. Calculate the ratio X:Y of the mixture.
answer
Form 1 MathematicsIn a fund- raising committee of 45 people, the ratio of men to women is 7: 2. Find the number of women required to join the existing committee so that the ratio of men to women is changed to 5: 4 ( 3 marks)
Answer
Form 1 Mathematics
A miller was contracted to make porridge flour to support a feeding program. He mixed millet, sorghum, maize and Omena in the ration 1:2:5:1. The cost per kilogram of millet was Ksh 90, sorghum Ksh 120, maize Ksh 30 and omena Ksh 150.
Calculate: (a) the cost of one kilogram of the mixture; (b) the selling price of 1 kg of the mixture if the miller made a 30% profit.
answer
Form 1 Mathematics
A trader bought maize for Ksh 20 per kilogram and beans for Ksh 60 per kilogram. She mixed the maize and beans and sold the mixture at Ksh 48 per kilogram. If she made a 60% profit,
determine the ratio maize to beans per kilogram in the mixture.
answer
Form 1 Mathematics
a)The ratio of Jumas and Akinyis earning was 5:3. Jumas earnings rose to Kshs 8400 after an increase of 12%
Calculate the percentage increase in Akinyis earnings given that the sum of their new earnings was kshs 14,100. b) Juma and Akinyi contributed all the new earnings to buy maize at Kshs 1175 per bag. The maize was then sold at Kshs 1762.50 per bag. The two shared all the money from the sales of the maize in the ratio of their contributions. Calculate the amount hat Akinyi got.
answers
Form 2 Mathematics
A triangular plot ABC is such that the length of the side AB is two thirds that of BC. The ratio of the lengths AB:AC = 4:9 and the angle at B is obtuse.
a) The length of the side BC
b)
i) The area of the plot
iii) The size of ∠ABC
Answer
Form 1 Mathematics
Three partners Amina, Bosire and Karuri contributed a total of Ksh 4 800 000 in the ratio 4:5:7 to buy an 8 hectares piece of land. The partners set aside 1/4 of the land for social amenities and sub-divided the rest into 15 m by 25 m plots.
(a) Find: (i) the amount of money contributed by Karuri; (ii) the number of plots that were obtained. (b) The partners sold the plots at Ksh 50 000 each and spent 30% of the profit realised to pay for administrative costs. They shared the rest of the profit in the ratio of their contributions. (i) Calculate the net profit realised. (ii) Find the difference in the amount of the profit earned by Amina and Bosire.
answers
Form 1 Mathematics
Muya had a 6 2/3 ha piece of land. He donated 7/8 ha to a school and 1 1/2 ha to a children's home. The rest of the land was shared equally between his son
and daughter. Find the size of land that each child got.
answer
Form 1 Mathematics
Point C divide line AB given below externally in the ratio 5:2
By construction, determine the position of point c
Answer
Form 1 Mathematics
A paint dealer mixes three types of paint A, B and C, in the ratios A:B = 3:4 and B:C = 1:2. The mixture is to contain 168 litres of C.
(a) Find the ratio A:B:C. (b) Find the required number of litres of B. (c) The cost per litre of type A is Ksh 160, type B is Ksh 205 and type C is Ksh 100. i. Calculate the cost per litre of the mixture. ii. Find the percentage profit if the selling price of the mixture is Ksh182 per litre. iii. Find the selling price of a litre of the mixture if the dealer makes a 25% profit.
answers
Form 1 Mathematics
A cow is 4 years 8 months older than a heifer. The product of their ages is 8 years. Determine the age of the cow and that of the heifer.
answer
Form 1 Mathematics
A dealer has three grades of coffee X,Y and Z. Grade X costs sh 140 per kg, grade y costs sh 160 per kg grade Z costs sh.256 per kg.
Answer
Form 1 Mathematics
Machine A can do a piece of work in 6 hours while machine B can do the same work in 9 hours. Machine A was set to do the piece of work but after 31 ⁄ 2 hours, it broke down and machine B did the rest of the work. Find how long machine B took to do the rest of the work (3mks)
Answer
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