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Mathematics

2 answers:

gayaneshka [121]3 years ago

5 0

Distribute the number outside the parenthesis and do the equations in the parenthesis. If there is no sign in between the parenthesis, assume to multiply.

Masja [62]3 years ago

4 0

#2: $\frac{1}{2}(15)(13+17) =225$

#3: $\frac{1}{2}(10)(9.4+3.6)=65$

Hope this helps!

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The price of 10 citrons and 7 fragrant wood apples is 55 units. The price of 7 citrons and 10 fragrant wood apples is 64 units.

a_sh-v [17]

Price of one citron = 5 units

Price of one fragrant = 5/7 units = 0.71 units

Further explanation:

Let x be the price of one citron and

y be the price of one fragrant

Then according to given statement

10x+7y = 55 Eqn 1

7x+10y = 64 Eqn 2

Multiplying equation 1 by 7

$7(10x+7y) = 7(55)\\70x+49y=385$

This will be equation 3.

Multiplying equation 2 by 10

$10(7x+10y) = 10(64)\\70x+100y=640$

This will be equation 4.

Subtracting equation 3 from equation 4

$70x+100y - (70x+49y) = 640-385\\70x+100y-70y-49y = 255\\51y = 255\\\frac{51x}{51} = \frac{255}{51}\\x = 5\\Putting\ x=5\ in\ equation\ 1\\10(5)+7y = 55\\50+7y = 55\\7y = 55-50\\7y = 5\\\frac{7y}{7} =\frac{5}{7}$