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Marco's daily workout includes jumping jacks and sit-ups, always in the same ratio to one another. On Monday, Marco does 54 jumping jacks and 18 sit-ups. Use the drop-down menus to select the values that make the statements about Marco's workouts true. If Marco does 66 jumpingjacks on Tuesday, \( h \) will also have done. day. Marco begins his workout on Wednesday with 15 sit-ups. He finishes the workout by doing X jumping jacks.

Ask by Stewart Norris. in the United States
Feb 25,2025

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Answer

Marco does 22 sit-ups on Tuesday and 45 jumping jacks on Wednesday.

Solution

Marco's workout ratio is constant. On Monday he does 54 jumping jacks and 18 sit‑ups, which simplifies to a 3:1 ratio (54 ÷ 18 = 3). This means that for every 3 jumping jacks, he does 1 sit‑up. • Tuesday: If Marco does 66 jumping jacks, then he must do 66 ÷ 3 = 22 sit‑ups. • Wednesday: If Marco starts with 15 sit‑ups, then he finishes his workout with 15 × 3 = 45 jumping jacks. So, the values you should select are:  • Tuesday: 22 sit‑ups  • Wednesday: 45 jumping jacks.

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The Deep Dive

Marco maintains a consistent ratio between his jumping jacks and sit-ups during his workouts. On Monday, for every 3 jumping jacks, there is 1 sit-up (54:18 simplifies to 3:1). So, if Marco does 66 jumping jacks on Tuesday, using that same ratio, he will have also done \(66 / 3 = 22\) sit-ups to maintain the balance in his workout regimen. When Marco starts his workout on Wednesday with 15 sit-ups, to keep the same ratio of 3:1, he needs to do 45 jumping jacks (since \(15 \times 3 = 45\)). This way, he’s engaging the same muscles and benefiting from that coveted workout structure he loves!

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