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1. Four people at Pia's Pottery Shop each make 29 mugs and 18 pottery bowls. Three people at Jason's Craft Shop each make the same number of mugs and twice as many bowls. How many objects did the seven people make in all?

Ask by Adkins Bush. in the United States
Jan 23,2025

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Tutor-Verified Answer

Answer

The seven people made a total of 383 objects.

Solution

Давайте розглянемо завдання крок за кроком. **Піа's Pottery Shop:** - **Кількість людей:** 4 - **Кількість кружок на одного:** 29 - **Кількість мисок на одного:** 18 Загальна кількість об'єктів, виготовлених у Піа's Pottery Shop: \[ 4 \times (29 \text{ кружок} + 18 \text{ мисок}) = 4 \times 47 = 188 \text{ об'єктів} \] **Jason's Craft Shop:** - **Кількість людей:** 3 - **Кількість кружок на одного:** Така ж, як у Піа’s Pottery Shop, тобто 29 - **Кількість мисок на одного:** Вдвічі більше, ніж у Піа’s Pottery Shop, тобто \(2 \times 18 = 36\) Загальна кількість об'єктів, виготовлених у Jason's Craft Shop: \[ 3 \times (29 \text{ кружок} + 36 \text{ мисок}) = 3 \times 65 = 195 \text{ об'єктів} \] **Загальна кількість об'єктів від обох магазинів:** \[ 188 \text{ (Піа)} + 195 \text{ (Джейсон)} = 383 \text{ об'єкти} \] **Відповідь:** Разом сім людей виготовили 383 об'єкти.

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Let’s first calculate how many objects each person made at Pia’s Pottery Shop. Each of the four people made 29 mugs and 18 bowls, so: Total objects made by one person at Pia’s: 29 mugs + 18 bowls = 47 objects For four people: 47 objects * 4 people = 188 objects Now, let’s look at Jason’s Craft Shop. Each of the three people there makes 29 mugs (same as Pia’s) and twice as many bowls, which is 36 bowls (because 18 * 2 = 36). Total objects made by one person at Jason’s: 29 mugs + 36 bowls = 65 objects For three people: 65 objects * 3 people = 195 objects Now, we add the totals from both shops: 188 objects (Pia’s) + 195 objects (Jason’s) = 383 objects So, in total, the seven people made 383 objects.

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