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In Mathematics / Middle School | 2014-04-18

Mathilde has 20 pints of green paint. She uses \(\frac{2}{5}\) of it to paint a landscape and \(\frac{3}{10}\) of it while painting a clover. She decides that for her next painting she will need 14 pints of green paint. How much more paint will she need to buy?

Asked by nubialatina

Answer (3)

2/5 = 4/10 = 8 3/10 = 6 8 + 6 = 14 + 14 = 28 28 - 20 = 8 8 pints needed or 1 gallon Hope that Helps!

Answered by Dannymal | 2024-06-10

8 more pints to paint
Further explanation
Given:
Mathilde has 20 pints of green paint.
She uses:

²/₅ of it to paint a landscape, and
³/₁₀ of it while painting a clover.


She decides that for her next painting she will need 14 pints of green paint.
Question:
How much more paint will she need to buy?
The Process:
Prepare ²/₅ to be ⁴/₁₀. The numerator and denominator are multiplied by two.
From the fractions ⁴/₁₀ and ⁵/₁₀ with the denominators of 10, we divided 20 pints into 10 parts for 2 units each.
The initial condition: 2 ​ 2 ​ 2 ​ 2 ​ 2 ​ 2 ​ 2 ​ 2 ​ 2 ​ 2 ​
²/₅ (or ⁴/₁₀) of it to paint a landscape: 2 ​ 2 ​ 2 ​ 2 ​ which is four out of ten parts or 2 + 2 + 2 + 2 = 8 p in t s ​
³/₁₀ of it while painting a clover: 2 ​ 2 ​ 2 ​ which is three out of ten parts or 2 + 2 + 2 = 6 p in t s ​
From the scheme above, it appears that Mathilde has 6 pints remaining, i.e., 20 − 8 − 6 = 6 p in t s ​
She decides that for her next painting she will need 14 pints of green paint.
Thus, the amount of paint that she will need to buy is 14 − 6 = 8 ​ ​ . She needs 8 more pints of paint to buy.
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Keywords: Mathilde has 20 pints of green paint, 2/5 of it to paint a landscape, 3\10 of it while painting a clover, she will need 14 pints, how much more, she needs to buy, 8 pints

Answered by BladeRunner212 | 2024-06-12

Mathilde has 20 pints of green paint and uses 14 pints in total for two projects, leaving her with 6 pints. She needs 14 pints for her next painting, so she will need to buy 8 more pints. Therefore, Mathilde needs to purchase an additional 8 pints of green paint.
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Answered by BladeRunner212 | 2024-12-16