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3 years ago

7

the third grade at millbridge school has 179 students. if there are ten more 4th graders than 3rd graders, and thirty more 5th g

raders than 3rd graders. how many students are in 3rd, 4th, and 5th grade?

1 answer:

weeeeeb [17]3 years ago

3 0

179 students in 3rd grade, 189 4th graders, and 209 5th graders. 577 students total!

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3 years ago

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Answer:

Coffee = $2.00

Juice = $1.50

Doughnut = $1.00

Step-by-step explanation:

Given

Let:

$c = coffee\\ j= juice\\ d = doughnut$

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Required

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We have:

$2c + j + 2d = 7.50$

$c + 3d = 5.00$

$3c + j + 4d = 11.50$

Make c the subject in: $c + 3d = 5.00$

$c = 5.00 - 3d$

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$2c + j + 2d = 7.50$

$2[5.00 - 3d] + j + 2d = 7.50$

$10.00 - 6d+ j + 2d = 7.50$

Make j the subject

$j = 7.50 - 10.0 +6d - 2d$

$j = -2.50 +4d$

$3c + j + 4d = 11.50$

$3[5.00 - 3d] + j + 4d = 11.50$

$15.00 - 9d + j + 4d = 11.50$

Make j the subject

$j = 11.50 - 15.00 + 9d -4d$

$j = -3.50 + 5d$

So, we have:

$j = -3.50 + 5d$ and $j = -2.50 +4d$

Equate both values of j

$-3.50 + 5d = -2.50 + 4d$

Collect like terms

$5d - 4d = 3.50 -2.50$

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Substitute $d = 1.00$ in $j = -3.50 + 5d$

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$j = -3.50 + 5 * 1.00$

$j = -3.50 + 5.00$

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To solve for c, we substitute $d = 1.00$ in $c + 3d = 5.00$

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Solve for c

$c =- 3.00 +5.00$

$c =2.00$

7 0

3 years ago