Rachel is twice as old as Rona and Collete's age is half the age of Rona's. If Rona is 8 years old, what is the difference between the age of Collete and Rachel?
How old is Rachel? ** Rachel's age is 8 x 2 =
<<8*2=16>>16. How old is Collete? ** Collete's age is 8 / 2 = <<8/2=4>>4. What is the difference between the age of Rachel and Collete? ** Therefore the difference between their age is 16 - 4 = <<16-4=12>>12. #### 12 A housewife goes to the market. She spent 2/3 of her $150. How much does she have left? How much does the housewife have left? ** The housewife has 3/3 - 2/3 = 1/3 of $150 left. How much does the housewife have left? ** This means she has $150 * (1/3) = $<<150*(1/3)=50>>50 left. #### 50 Marla has to spend 20 minutes driving one way to her son's school, then 70 minutes attending parent-teacher night, then the same amount of time driving home. How many minutes does Marla spend on this errand in total? How many minutes does Marla spend driving one way? ** First multiply Marla's one-way driving time by 2 to find her total driving time: 20 minutes * 2 = <<20*2=40>>40 minutes How many minutes does Marla spend on this errand in total? ** Then add Marla's driving time to the time spent attending the conference to find the total time: 70 minutes + 40 minutes = <<70+40=110>>110 minutes #### 110 John's shirt cost 60% more than his pants. His pants cost $50. How much was John's outfit? How much did John's pants cost? ** John's pants cost 50*.6=$<<50*.6=30>>30 more than his pants How much did John's shirt cost? ** So his shirt cost 50+30=$<<50+30=80>>80 How much did John's outfit cost? ** So in total he spent 80+50=$<<80+50=130>>130 #### 130 On Saturday morning, Renata had $10 to spend. She first went and made a $4 donation in exchange for a ticket to the local charity draw. When the draw was done, she was declared the winner of the 5th prize of $90. Excited, she quickly dashed to play slots at one of the casinos in Atlantic City. Unfortunately, she lost $50 at the first slot machine, $10 at the second and $5 at the last one. Dejected, she decided to take a long walk. She soon grew thirsty and entered the first gas station she saw. She picked a $1 bottle of water and while paying for it, she bought a $1 lottery ticket. To her utter delight, she won an instant prize of $65. How much money did Renata end up having? How much money did Renata have after the charity ticket purchase? ** After the charity ticket purchase on Saturday morning, Renata remained with 10 - 4 = <<10-4=6>>6 dollars. How much money did Renata end up having? ** Adding the prize money give her 6+90 = <<6+90=96>>96 dollars How much money did Renata lose at the casino? ** At the casino, she lost 50 + 10 + 5 = <<50+10+5=65>>65 dollars How much money did Renata end up having? ** Thus far, Renata remained with 96 - 65 = <<96-65=31>>31 dollars How much money did Renata spend? ** The amount she spent on the bottle of water and lottery ticket is 1 + 1 = <<1+1=2>>2 dollars How much money did Renata end up having? ** This means that she remained with 31- 2 = <<31-2=29>>29 dollars How much money did Renata end up having? ** Since she won 65 dollars, Renata’s ended up having 29 + 65 = <<29+65=94>>94 dollars. #### 94 On a weekend road trip, the Jensen family drove 210 miles on highways, where their car gets 35 miles for each gallon of gas and 54 miles on city streets where their car gets 18 miles for each gallon. How many gallons of gas did they use? How many gallons of gas did they use on highways? ** On highways, the Jensen family used 210 miles / 35 miles/gallon = <<210/35=6>>6 gallons of gas. How many gallons of gas did they use on city streets? ** On city streets, the Jensen family used 54 miles / 18 miles/gallon = <<54/18=3>>3 gallons of gas. How many gallons of gas did they use? ** Total, the Jensen family used 6 gallons + 3 gallons = <<6+3=9>>9 gallons of gas. #### 9 Miles is a musician. He owns three fewer trumpets than he has fingers, and two more guitars than he has hands. He also owns two more trombones than he has heads, and one fewer French horn than he has guitars. What is the total number of musical instruments that Miles owns? How many trumpets does Miles have? ** Three fewer trumpets than Miles has fingers is 10-3=<<10-3=7>>7 trumpets. How many guitars does Miles have? ** Two more guitars than he has hands is 2+2=<<2+2=4>>4 guitars. How many trombones does Miles have? ** Two more trombones than he has heads is 2+1=<<2+1=3>>3 trombones. How many French horns does Miles have? ** And one fewer French horn than he has guitars is 4-1=<<4-1=3>>3 French horns. What is the total number of musical instruments that Miles owns? ** Altogether, Miles owns 7+4+3+3=<<7+4+3+3=17>>17 musical instruments. #### 17 There are 24 toys in the box and ¼ of them are action figures. The remaining toys are all dolls. How many dolls are there? How many action figures are there? ** Since there are 24 toys in the box, there are ¼ * 24 = 6 action figures. How many dolls are there? ** Because the rest of the toys are dolls, there are 24 - 6 = <<24-6=18>>18 dolls in the box. #### 18 There are 381 pages in Elliot’s book. He has already read 149 pages. If he reads 20 pages a day for a week, how many pages are still left to be read? How many pages will Elliot read in a week? ** In a week, Elliot will read 20 x 7 = <<20*7=140>>140 pages. How many pages has Elliot read? ** Adding the prior readings, he has read a total of 149 + 140 = <<149+140=289>>289 pages. How many pages are still left to be read? ** There are 381 - 289 = <<381-289=92>>92 pages still left to be read. #### 92 A wheel on a certain machine makes 6 turns every 30 seconds. How many turns does it make in two hours? How many sets of 30 seconds are there in a minute? ** Since there are 60 seconds in 1 minute, then there are 60/30 = <<60/30=2>>2 sets of 30 seconds in a minute. How many turns does a wheel make in a minute? ** So a wheel makes 6 x 2 = <<6*2=12>>12 turns in 1 minute. How many turns does a wheel make in an hour? ** Since there are 60 minutes in 1 hour, then a wheel makes 12 x 60 = <<12*60=720>>720 turns in an hour. How many turns does a wheel make in 2 hours? ** Therefore, the wheel makes 720 x 2 = <<720*2=1440>>1440 turns in 2 hours. #### 1440