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question:Maya is 18 pounds heavier than Rachel. Rachel is 12 pounds lighter than Olivia. If Ava weighs 120 pounds and is 25 pounds lighter than Maya, find the weight of Olivia.
answer:First, I'll define the variables for each person's weight: Maya (M), Rachel (R), Olivia (O), and Ava (A).From the problem, I know that Ava weighs 120 pounds and is 25 pounds lighter than Maya. This gives me the equation:M = A + 25Substituting Ava's weight:M = 120 + 25 = 145 poundsNext, Maya is 18 pounds heavier than Rachel, so:R = M - 18Substituting Maya's weight:R = 145 - 18 = 127 poundsRachel is 12 pounds lighter than Olivia, which means:O = R + 12Substituting Rachel's weight:O = 127 + 12 = 139 poundsTherefore, Olivia weighs 139 pounds.
question:Brendan is stocking up on cat litter. He purchases a 20kg bag and then a 5kg bag, and now he has 50kg of cat litter. How many kilograms of cat litter did Brendan already have?
answer:First, I'll identify the total amount of cat litter Brendan has after his purchases, which is 50 kg.He bought two bags: one that's 20 kg and another that's 5 kg. I'll add these two amounts together to find out how much he purchased in total.20 kg + 5 kg equals 15 kg.Now, to find out how much cat litter Brendan already had before his purchases, I'll subtract the total amount he purchased from the total amount he has now.50 kg minus 15 kg equals 35 kg.Therefore, Brendan already had 35 kg of cat litter.
question:Emily and Michael run a pet-sitting business. They charge 6 for each dog walk they complete. On Thursday, they walked 8 dogs. On Friday, they walked 4 dogs. On Saturday, they counted their money and found they had 102 for all three days. How many dog walks did they complete on Saturday?
answer:First, I need to determine how many dog walks Emily and Michael completed on Saturday. They charge 6 per dog walk.On Thursday, they walked 8 dogs, which means they earned 8 multiplied by 6, totaling 48.On Friday, they walked 4 dogs, earning 4 multiplied by 6, which is 24.Adding the earnings from Thursday and Friday gives a total of 48 plus 24, which equals 72.They had a total of 102 over the three days. Subtracting the earnings from Thursday and Friday from the total gives 102 minus 72, resulting in 30 earned on Saturday.Since each dog walk earns them 6, the number of dog walks on Saturday is 30 divided by 6, which equals 5.Therefore, Emily and Michael completed 5 dog walks on Saturday.
question:Emily has 800. She spent 1/4 of it on tickets to a concert, and 1/5 of what was left on a new pair of shoes. How much money did she have left?
answer:First, calculate how much Emily spent on concert tickets by taking one-fourth of 800.Next, determine how much money she has left after purchasing the tickets by subtracting the amount spent from the initial amount.Then, calculate the cost of the new pair of shoes by taking one-fifth of the remaining money.Finally, subtract the amount spent on shoes from the remaining money after buying the tickets to find out how much money Emily has left.
question:There are 11 males & 12 females in the orchestra and twice that number in the band. There are 12 males & 17 females in the choir. If each musician only participates in one group, how many musicians total are there in the orchestra, the band, and the choir?
answer:First, I need to determine the number of musicians in each group: the orchestra, the band, and the choir.Starting with the orchestra, there are 11 males and 12 females. Adding these together gives a total of 23 musicians in the orchestra.Next, the band has twice the number of musicians as the orchestra. Since the orchestra has 23 musicians, the band will have 23 multiplied by 2, which equals 46 musicians.Then, looking at the choir, there are 12 males and 17 females. Adding these gives a total of 29 musicians in the choir.Finally, to find the total number of musicians in all three groups, I add the number of musicians in the orchestra, the band, and the choir: 23 + 46 + 29, which equals 98 musicians in total.
question:Liam and Ethan went to an antique store to buy some vintage collectibles. Liam spent 3/4 times more money than Ethan at the store. If Ethan spent 250, calculate the total amount of money they spent together.
answer:First, I need to determine how much money Liam spent. The problem states that Liam spent 3/4 times more than Ethan. Since Ethan spent 250, I can calculate Liam's expenditure by multiplying 250 by 3/4.Next, I'll add the amounts that both Liam and Ethan spent to find the total expenditure. This involves adding Ethan's 250 to Liam's calculated amount.Finally, by performing these calculations, I can find the total amount of money they spent together.