Respuesta :
The answer is: " 2,857. 143 g seawater " .
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Explanation:
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(3.5 parts salt) /(100 parts water) = (100g salt)/ ("x" grams seawater) ;
Solve for "x" , {the amount of seawater, in "grams" (g), needed to have evaporated to leave 100 g salt}.
Cross multiply:
100* 100 = (3.5)x ;
10,000 = (3.5)x ;
↔ (3.5)x = 10,000 ;
Divide each side of the equation by "(3.5)" ; to isolate "x" on one side of the equation ; & to solve for "x" ;
→ (3.5)x / (3.5) = (10,000) / (3.5) ;
→ x = (10,000) / (3.5) ;
→ x = 2857.1428571428571429 ; → round to: 2,857. 143 ;
→ round to: " 2,857. 143 g seawater " .
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___________________________________________________
Explanation:
___________________________________________________
(3.5 parts salt) /(100 parts water) = (100g salt)/ ("x" grams seawater) ;
Solve for "x" , {the amount of seawater, in "grams" (g), needed to have evaporated to leave 100 g salt}.
Cross multiply:
100* 100 = (3.5)x ;
10,000 = (3.5)x ;
↔ (3.5)x = 10,000 ;
Divide each side of the equation by "(3.5)" ; to isolate "x" on one side of the equation ; & to solve for "x" ;
→ (3.5)x / (3.5) = (10,000) / (3.5) ;
→ x = (10,000) / (3.5) ;
→ x = 2857.1428571428571429 ; → round to: 2,857. 143 ;
→ round to: " 2,857. 143 g seawater " .
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The amount of sea water need to have evaporated to leave 100g salt is [tex]\boxed{2857.14{\text{ gram or 2}}{\text{.85714 kilogram}}}.[/tex]
Further Explanation:
The unit of the salinity is [tex]{\text{gram}}/{\text{gram}}[/tex]
Given:
The salinity of the seawater is [tex]3.5\%.[/tex]
The amount of salt is [tex]100{\text{ gram}}.[/tex]
Explanation:
The given salinity of the seawater is [tex]3.5\%.[/tex]
The salinity of the seawater is [tex]3.5\%[/tex] means that [tex]3.5{\text{ gram}}[/tex] of salt is present in the [tex]100{\text{ gram}}.[/tex]
Consider the amount of seawater need to have evaporated to leave 100g salt be [tex]x{\text{ gram}}.[/tex]
The amount seawater need to have evaporated to leave 100g salt can be calculated as follows,
[tex]\begin{aligned}\frac{{3.5}}{{100}}&= \frac{{100}}{x}\\3.5 \times x &= 100 \times 100\\x&=\frac{{10000}}{{3.5}}\\x&= 2857.14{\text{ gram}}\\\end{aligned}[/tex]
The weight of the seawater in kilogram can be obtain as follows,
[tex]\begin{aligned}x&=\frac{{2857.14}}{{1000}}\\&= 2.857{\text{kilogram}}\\\end{aligned}[/tex]
The amount of sea water need to have evaporated to leave 100g salt is [tex]\boxed{2857.14{\text{ gram or 2}}{\text{.85714 kilogram}}}.[/tex]
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Answer details:
Grade: Middle School
Subject: Mathematics
Chapter: Mensuration
Keywords: Average, seawater, the world, oceans, salinity, 3.5%, seawater need, evaporated, leave, 100 g, weight, gram, salt, percentage, amount, multiply,
