Answer this question:Mason is mixing up some salad dressing. He takes a bowl that holds 150 ml and fills it 2/3rds with oil and 1/3rd with vinegar. The oil weighs 5 g/ml and the vinegar weighs 4 g/ml. How many grams does the salad dressing weigh?
First find how many ml of oil Mason adds by multiplying the volume of the bowl by the proportion filled with oil: 150 ml * 2 / 3 = 100 ml. Then repeat the process to find how many ml of vinegar he added: 150 ml * 1 / 3 = 50 ml. Now find the weight of the oil by multiplying the volume by the weight / volume ratio: 100 ml * 5 g / ml = 500 g. Do the same procedure with the weight and weight / volume ratio of the vinegar to find its weight: 50 ml * 4 g / ml = 200 g. Now add the weight of the oil and the vinegar to find the weight of the salad dressing: 500 g + 200 g = 700 g.
The answer is 700.

Answer this question:A pumpkin patch allows people to come pick pumpkins to carve in the fall every year. They charge $3 per person for a pumpkin. The remaining pumpkins get turned into cans of pie filling, 3 pumpkins to a can. They grew 83 pumpkins this year and made $96 selling pumpkins for carving. How many cans of pie filling will the pumpkin patch produce?
The pumpkin patch sold 96 / 3 = 32 pumpkins. They have 83 - 32 = 51 pumpkins left. Thus, the pumpkin patch will produce 51 / 3 = 17 cans of pie filling.
The answer is 17.

Answer this question:Angus, Patrick, and Ollie went fishing for trout on Rainbow Lake. Angus caught 4 more fish than Patrick did, but Ollie caught 7 fewer fish than Angus. If Ollie caught 5 fish, how many fish did Patrick catch?
If Ollie caught 7 less than Angus, then Angus caught 5 + 7 = 12 fish. And since Angus caught four more than Patrick, then Patrick caught 12 - 4 = 8 fish.
The answer is 8.

Answer this question:At a roller derby, 4 teams are competing. Each team is made up of 10 members, and each member needs a pair of roller skates to compete in and another pair of skates as a backup. None of the skates have laces yet, so each member is offered 3 sets of laces per pair of skates. How many sets of laces have been handed out?
There are a total of 4 teams * 10 members per team = 40 team members. Each person receives 1 pair of competing roller skates + 1 pair of backup roller skates = 2 pairs of roller skates. So there are a total of 40 team members * 2 pairs of roller skates per team member = 80 roller skates. There were therefore 80 roller skates * 3 sets of laces per pair of roller skates = 240 sets of laces handed out.
The answer is 240.