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a baker in 70 minutes iced 40 cupcakes and in 49 minutes iced 28 cupcakes. what is the constant of proposinalty



1.There are 40 marbles in a box of which 25 are red marbles. How many marbles are green


The sum of the squares of the digits in a 3digit number is 98.

The sum of the first digit is increased and the last digit is the

middle digit. If the digits were reversed in order, the number

is increase by 198. What is the unknow number?


The sum of the digits of a three‐digit number is 14. The unit’s

digit is half the ten’s digit. When the digits are reversed the

resulting number is 198 more than the original number.

What is the original number?


Ana is 24‐year old when her son is born. In how many years

will Ana be thrice as old as her son?


Find the two consecutive integers that have a sum of 39.


Four years ago, the sum of the ages of Bill and Jane was 45.

Six year from now, twice jane’s age will be 28 more than

Bill’s age then. How old is jane now?


John can finish a painting job in 2 days. Peter can finish the

job in 3 days. Danny can do the job in 6 days. How long will

it take all of them together to finish the job?


A survey of seventy‐one students reveals that 50 take the

jeepney. 36 take the bus 33 take the tram 20 take the

jeepney and the bus 18 take the bus and the train 22 take

the train and the jeepney 12 take the jeepney. bus and the

train

How many students take the jeepney only? How many

students take the bus only? .1 How many students take the

train only?


A container holds 3 liters of a 25% alcohol solution. One half

liter of the solution is withdrawn and replaced with one half

liter of pure alcohol. What is the percentage of alcohol in the

new mixture?