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.  How much more paint will she need  to buy?


Sagot :

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!

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: [tex]\boxed{2}\boxed{2}\boxed{2}\boxed{2}\boxed{2}\boxed{2}\boxed{2}\boxed{2}\boxed{2}\boxed{2}[/tex]

²/₅ (or ⁴/₁₀) of it to paint a landscape: [tex]\boxed{2}\boxed{2}\boxed{2}\boxed{2}[/tex] which is four out of ten parts or [tex]\boxed{ \ 2+2+2+2=8 \ pints \ }[/tex]

³/₁₀ of it while painting a clover: [tex]\boxed{2}\boxed{2}\boxed{2}[/tex] which is three out of ten parts or [tex]\boxed{ \ 2+2+2=6 \ pints \ }[/tex]

From the scheme above, it appears that Mathilde has 6 pints remaining, i.e.,   [tex]\boxed{ \ 20-8-6=6 \ pints \ }[/tex]

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 [tex]\boxed{\boxed{ \ 14 - 6 = 8 \ }}[/tex]. She needs 8 more pints of paint to buy.

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