Sweet Shop Mathematical Problem Solving
Five children visited a sweet shop with £1 each to spend on items costing under 50p. The children purchased various sweets, and the task involves finding change received, determining ways to spend all the money, and solving extensions involving different combinations of purchases. The question also delves into individual purchases made by Johnny, Kenny, Leah, and Manny at the sweet shop. Mathematical reasoning is used to calculate costs and change. The problem challenges students to think logically and perform calculations based on given information.
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Sweet Shop NRICH LO: Use mathematical reasoning to find unknown values Five children went into the sweet shop after school. They looked at the things that cost under 50p. There were choco bars, chews, mini eggs and lollypops. Each of the children had a 1 coin they could spend, but they didn't necessarily want to spend all of it!. Questions Nathan bought one of each - a choco bar, a mini egg, a lollypop and a chew. How much change did he get from his 1? Suggest a way in which Nathan could spend all his money. Make sure you show your working out on the answer sheet EXTENSION: How many different ways can Nathan spend exactly 1
Sweet Shop NRICH LO: Use mathematical reasoning to find unknown values Five children went into the sweet shop after school. They looked at the things that cost under 50p. There were choco bars, chews, mini eggs and lollypops. Each of the children had a 1 coin they could spend, but they didn't necessarily want to spend all of it!. Questions Nathan bought one of each - a choco bar, a mini egg, a lollypop and a chew. How much change did he get from his 1? Suggest a way in which Nathan could spend all his money. Make sure you show your working out on the answer sheet EXTENSION: How many different ways can Nathan spend exactly 1
Sweet Shop LO: Use mathematical reasoning to find unknown values NRICH Five children went into the sweet shop after school. They looked at the things that cost under 50p. There were choco bars, chews, mini eggs and lollypops. Each of the children had a 1 coin they could spend, but they didn't necessarily want to spend all of it! Johnny bought a choco bar, a mini egg and a chew. She spent 61p. Kenny bought a choco bar, a mini egg and a lollypop. He had 46p change from his 1. Leah bought 3 lollypops. They cost 84p. Manny bought a mini egg, a lollypop and a chew. She had 20p change from her 1. Questions Nathan bought one of each - a choco bar, a mini egg, a lollypop and a chew. How much change did he get from his 1? Suggest a way in which Nathan could spend all his money. Make sure you show your working out on the answer sheet EXTENSION: How many different ways can Nathan spend exactly 1
Support questions: How much does 1 lollypop cost? Show your working out. How much money did Kenny Spend? Show your working out. Would it be a good idea to see what Kenny bought? Why? Can you compare what Kenny bought to what Johnny bought? How? How could you work out how much a chew cost? Show your working out. Can you use the information you have found so far to work out the cost of a mini egg? Support questions: How much does 1 lollypop cost? Show your working out. How much money did Kenny Spend? Show your working out. Would it be a good idea to see what Kenny bought? Why? Can you compare what Kenny bought to what Johnny bought? How? How could you work out how much a chew cost? Show your working out. Can you use the information you have found so far to work out the cost of a mini egg?
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Sweet Shop Stage: 3 Answers Five children went into the sweet shop after school. They looked at the things that cost under 50p. There were choco bars, chews, mini eggs and lollypops. Each of the children had a 1 coin they could spend, but they didn't necessarily want to spend all of it! Judy bought a choco bar, a mini egg and a chew. She spent 61p. Kenny bought a choco bar, a mini egg and a lollypop. He had 46p change from his 1. Kenny spent 54p and Chews are 7p more than lolly Liam bought 3 lollypops. They cost 84p. One lollipop is 28p, so chews are 35p Mandy bought a mini egg, a lollypop and a chew. She had 20p change from her 1. Mandy spent 80p, 80p 28p - 35p = 17p ( price of mini eggs) lolly So if Judy bought a choco bar, a mini egg (17p) and a chew (35p). She spent 61p. Choco bar must be 61p 17p 35p = 9p
