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tigry1 [53]
3 years ago
13

Anna and Jason have summer jobs stuffing envelopes for two different companies. Anna earns $14 for every 400 envelops she finish

es. Jason earns $9 for every 300 envelopes he finishes.
Suppose Jason had savings pf $100 from the beginning summer. How many envelopes domJason and Anna need to stuff for thier savings to be equal. What are thier savings?
Mathematics
1 answer:
Sergio [31]3 years ago
8 0

Answer:

Q1:  20,000 envelopes

Q2: Savings = $700

Step-by-step explanation:

Let the number of envelopes stuffed by each be "x"

We can create 2 equations, each for Anna and Jason, equate them and find our answer.

<u>For Anna:</u>

$14 for 400, so

14/400 = $0.035 PER ENVELOPE

Savings for Anna is  0.035x

<u>For Jason:</u>

Already has 100 (fixed)

Gets $9 for 300 envelopes, so

9/300 = $0.03 PER ENVELOPE

Savings for Jason is  100 + 0.03x

We equate and solve for x:

0.035x=100+0.03x\\0.005x=100\\x=20,000

So, For both their savings to be equal, they need to stuff 20,000 envelopes

Their savings would be:

0.035x

or 100 + 0.03x

We can plug in x = 20,000 in any one equation, the answer would be same.

So,

0.035(20,000) = $700

savings = $700

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<h3><u>Answer:</u></h3>

\boxed{\pink{\sf\leadsto Value \ of \ x \ is \ 24^{\circ}}}

<h3><u>Step-by-step explanation:</u></h3>

In the given parallelogram we can see that , <B is 5x° and <C is equal to 2x + 12°.

And these two are co - interior angles . And sum of co - interior angles is 180°.

Hence , here

\tt:\implies \angle DCB + \angle ABC = 180^{\circ} \\\\\tt:\implies (2x + 12)^{\circ} + 5x^{\circ}=180^{\circ} \\\\\tt:\implies 7x = (180 - 12 )^{\circ} \\\\\tt:\implies 7x = 168^{\circ} \\\\\tt:\implies x =\dfrac{168^{\circ}}{7} \\\\\underline{\boxed{\red{\tt\longmapsto x = 24^{\circ}}}}

<h3><u>Hence the value of x is 24°</u><u>.</u></h3>

\rule{200}2

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3 years ago
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What is the answer for x?
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Step-by-step explanation:

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4 0
3 years ago
The same Honey is sold in two different size jars. Large jar= 540g for £4.10 Small jar= 360g for £2.81. By considering the amoun
Ray Of Light [21]

Answer:

From our calculations the large jar is the best value for money because a penny buys more honey

Step-by-step explanation:

<h2>In this problem we are expected to determine which purchase of honey is the cheapest ? large jar or small jar ?.</h2><h2 />

We will determine which has the best value for money using the quantity a pound can purchase.  

firstly for the large jar.

if £4.10 will purchase 540g of honey then,

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cross multiplying to find x will have

x=  \frac{1.00*540g}{4.10}

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Hence for the large jar a penny would buy 131.7g of honey

secondly for the small jar

if £2.81 will purchase 360g of honey then,

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cross multiplying to find x will have

x=\frac{1.00*360g}{2.81}\\x= 128.1gram

Hence for the small jar a penny would buy 128.1g of honey

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