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3 years ago

A grocery store sells almonds for $7/1b and peanuts for $5/lb. Let x represent the number of pounds of almonds, and let y

Mathematics

1 answer:

jenyasd209 [6]3 years ago

6 0

Answer:

7x+ 5y <= 10

Step-by-step explanation:

As the x represents the number of pounds of almonds and the price of the almonds is $7/lb, we need to look for an inequality where the x is multiplied by $7 and the same with the y and $5.

It's useless to multiply the x by $5 or the y by $7 because we are mixing the prices of the nuts.

On the other hand, we don't want to spend more than 10. That means we can spend 10 or less.

Therefore, the inequality we can use to find how much of each type of nut we can buy without spending more than $10 is

7x+ 5y <= 10

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3 0

3 years ago

A large community college has professors and lecturers. The total number of faculty members is 228. The school reported that it

NARA [144]

Answer:

60 professors and 168 lecturers

Step-by-step explanation:

What you have is a 2 equations system with 2 unknown variables.

Let X be the number of professors and Y be the number of lecturers. As the total of both is 228:

X + Y = 228

Then, as there are 5 professors for every 14 lecturers:

5 X = 14 Y or X = (14/5) Y

Replacing this last value of X on the first equation:

(14/5) Y + Y = 228

(14/5) Y + (5/5) Y = 228

(19/5) Y = 228

Y = 228 * (5/19)

Y = (228*5)/19

Y = 1140 / 19

Y = 60

Then we can find X:

X = (14/5) Y = (14/5) * 60 = 168

X = 168

6 0

3 years ago