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MAVERICK [17]
3 years ago
11

Write a problem that could be solved using. 7x-4y=20;3x+4y=20

Mathematics
1 answer:
BartSMP [9]3 years ago
3 0
Jim bought x iphones for seven coupons each and sold y android phones for 4 coupons each. He got 20 coupons.
Julia bought the same number iphones for 3 coupons each and bought the same number Android phones for 4 coupons each. She got 20 coupons too. Please find quantity of iphones they will get and quantity of Android phones sold by Jim and got by Julia

{7x-4y=20
+
{3x+4y=20

10x=40
x=4
28-4y=20
4y=8
y=2

Answer
x=4; y=2

Jim and Julia bought 8 iphones and Jim sold 2 Android phones. Julia bought 2 Android phones.
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With amounts measured in gallons, let

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y = amount of 90% antifreeze

1 gal of the 65% brand contains 0.65 gal of pure antifreeze; x gal would contain 0.65x gal. Similarly, y gal of the 90% brand contains 0.90y gal of pure antifreeze.

To obtain 120 gal of 80% antifreeze solution (which contains 0.80•120 = 96 gal of pure antifreeze), we must have

x + y = 120 … … … … … [total volume of antifreeze solution]

0.65x + 0.90y = 96 … [total volume of pure antifreeze]

Solve the first equation for y :

y = 120 - x

Substitute this into the second equation and solve for x :

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0.65x + 108 - 0.90x = 96

0.25x = 12

x = 48

Solve for y :

y = 120 - 48

y = 72

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A number is 6 greater than 1\2 another number. If the sum of the numbers is 21,find the numbers.
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