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Mila [183]
3 years ago
13

Mo’s farm stand sold a total of 164 pounds of apples and peaches.she sold apples for $1.75 per pound and peaches for $2.50 per p

ound. If she made $337.50, how many pounds of peaches did she sell?
Mathematics
1 answer:
erastovalidia [21]3 years ago
6 0
X pounds of apples were sold
Y pounds of peaches were sold
{1.75X+2.5Y=337.5
{X+Y=164

{X=164-Y
{1.75*(164-Y)+2.5Y=337.5

0.75Y=337.5-287
Y=67.333

There are 67.333 pounds of peaches were sold.

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£980 is divided between Caroline, Sarah & Gavyn so that Caroline gets twice as much as Sarah, and Sarah gets three times as
Nitella [24]

Sarah has received £ 294

<u><em>Solution:</em></u>

Given that £980 is divided between Caroline, Sarah & Gavyn

Let "c" be the amount received by caroline

Let "s" be the amount received by sarah

Let "g" be the amount received by gavyn

<em><u>Caroline gets twice as much as Sarah</u></em>

amount received by caroline = twice as much as Sarah

amount received by caroline = 2(amount received by sarah)

c = 2s ---- eqn 1

<em><u>Sarah gets three times as much as Gavyn</u></em>

amount received by sarah = three times as much as Gavyn

amount received by sarah = 3(amount received by gavyn)

s = 3g ------- eqn 2

Given that total amount is 980

c + s + g = 980 --- eqn 3

<em><u>Let us solve eqn 1, 2, 3 to get values of "c" "s" "g"</u></em>

From eqn 2,

g = \frac{s}{3}  --- eqn 4

Substitute eqn 1 and eqn 4 in eqn 3

2s + s + \frac{s}{3} = 980\\\\\frac{6s + 3s + s}{3} = 980\\\\6s + 3s + s = 980 \times 3\\\\10s = 2940\\\\s = 294

Thus sarah has received £ 294

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3 years ago
Label each pointon the number line with the correct value
ankoles [38]
I converted everything into decimals and went from there.

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4 years ago
Jonah is thinking of a 2 digit number. it is a multiple of 6 and 12. it is a factor of 108. the sum of its digits is 9. what num
Goshia [24]
Dear Joshua10, the answer is 36. 36 is two digits, 3 and 2, it is a multiple of 6 and 12: 6 times 6 equals 36 and 12 times 3 equals 36, it is a factor of 108: 36 times 3 equals 108, and 36 has digits that equal to 9: 3 plus 6 equals 9.
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3 years ago
Mary crocheted a rectangular blanket whose diagonal measures approximately 7.21 feet. What are the most likely length and width
mote1985 [20]

Answer:

If both sides are integers, one side will be 4 feet and the other will be 6 feet. The other solution is the symmetrical solution (4 feet instead of 6 feet, and 6 feet instead of 4 feet).

Step-by-step explanation:

We have a rectangular blanket, that has a diagonal that measures h=7.21 feet.

The two sides of the rectangle a and b can be related to the diagonal h by the Pithagorean theorem:

a^2+b^2=h^2

Then, we can express one side in function of the other as:

a^2+b^2=h^2\\\\a^2=h^2-b^2\\\\a=\sqrt{h^2-b^2}=\sqrt{7.21-b^2}=\sqrt{52-b^2}

Then, if we define b, we get the value of a that satisfies the equation.

A graph of values of a and b is attached.

If both side a and b are integers, we can see in the graph that are only two solutions: (b=4, a=6) and (a=4, b=6).

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Raymond can paint 5/8 of a wall in 16 minutes. How long would it take to for him to paint 1/3 of a wall
Juliette [100K]

Answer: 128/15 min or 8.5 min

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5 0
3 years ago
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