Question

Marita spent $13.0 at the grocery store. She bought pears, kiwis and pineaples. Pears cost $0.50 each, pineapples cost $1.50 each, and kiwis are $0.30 each. how many of each kind of fruit did she buy if she bought 9 more pears than pineapples and 2 fewer kiwis than pears?

Answer 1

Answer:

◘ 12 pears

◘ 3 pineapples

◘ 10 kiwis

Step-by-step explanation:

Let $x$ be the number of pears bought.

Therefore:

• number of pears = $x$

• number of pineapples = $x - 9$

• number of kiwis = $x - 2$

We know that the total cost was $13.50.

This means if she bought $x$ pears at $0.50 each, $(x - 9)$ pineapples at $1.50 each, and $(x -2)$ kiwis at $0.30 each, the total would be $13.50.

∴  $[x \times 0.50] + [(x-9) \times 1.5] + [(x-2) \times 0.3] = 13.50$

Expanding and multiplying:

⇒ $0.5 x + 1.5x - 13.5 + 0.3x - 0.6 = 13.5$

Collect like terms:

⇒ $2.3x -14.1 = 13.5$

Solve for $x$:

⇒ $2.3x = 13.5 + 14.1$

⇒ $2.3 x = 27.6$

⇒ $x = 27.6 \div 2.3$

⇒ $x = \bf 12$

Therefore, she bought:

• 12 pears

•  $x - 9$ = 12 - 9 = 3 pineapples

• $x - 2$ = 12 - 2 = 10 kiwis

Answer 2

Marita bought 12 pears, 3 pineapples and 10 kiwis.

What are Arithmetic operations?

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

Let x the number of pears bought,

y the number of pineapples bought,

z the number of kiwis bought,

Given that, Marita bought 9 more pears than pineapples and 2 fewer kiwis than pears,

y + 9 = x

y = x -9 and

z + 2 = x

z = x - 2

We know that the total cost was $13.50.

This means if she bought  pears at $0.50 each,  pineapples at $1.50 each, and  kiwis at $0.30 each, the total would be $13.50.

∴  0.50x + 1.50y+ 0.30z = 13.50

Substitute the values of y and z in equation,

⇒ 0.50x + 1.50(x -9)+ 0.30(x - 2) = 13.50

Expanding and multiplying terms in equation,

⇒  0.50x + 1.50x -13.50+ 0.30x - 0.60 = 13.50

Rearrange the like terms and apply the arithmetic operation

⇒ 2.3x - 14.1 = 13.50

⇒ 2.3x = 13.50 + 14.1

⇒ 2.3x = 27.6

⇒ x = 27.6/2.3

⇒ x = 12

Therefore, the number of pears bought = 12

So, the number of pineapples bought = 12 - 9 = 3

And the number of kiwis bought = = 12 - 2 = 10

Hence, Marita bought 12 pears, 3 pineapples and 10 kiwis.

Learn more about Arithmetic operations here:

brainly.com/question/25834626

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