Ask question

Ask question

All categories

3 years ago

13

You buy 3 bags of sand and 2 bags of pea gravel for $21. In a second purchase (at the same prices), you buy 2 bags of sand for $

10. Let represent the price (in dollars) per bag of sand and let y represent the price (in dollars) per bag of pea gravel. Use a graph to find the price per bag of sand and the price per bag of pea gravel. What is thE bag of sand cost and bad of pea gravel cost.

1 answer:

Artist 52 [7]3 years ago

4 0

Answer:

Bag of sand cost = $5/-

Bag of pea gravel cost = $3/-

Step-by-step explanation:

Given that,

3 bags of sand and 2 bags of pea gravel cost $21

2 bags of sand cost $10.

Suppose number of bags of sand is represented by x.

Number of bags of pea gravels is represented by y.

We can write as:

3x + 2y = 21

2x = 10

x = 5

eq 1 : 15+ 2y = 21

y= 3

Therefore,

Bag of sand cost = $5/-

Bag of pea gravel cost = $3/-

You might be interested in

An shirt is priced at $16.48. If the sales tax is 6%, what does the item cost including sales tax? If necessary round to the nea

zhuklara [117]

Sales tax:
0.06 x 1<span>6.48
about 0.99
Cost:
16.48 + 0.99
$17.47
The item's cost is </span>$17.47 with sales tax

7 0

3 years ago

What is 1 1/4 divided by 5/7

mars1129 [50]

Answer:

1.75

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

50 POINTS. PLZ ANSWER RIGHT

LenKa [72]

Answer:

5 : 6 or $\frac{5}{6}$

Step-by-step explanation:

Given that, I make 5 quarts of tomato sauce from 6 baskets of tomatoes.

Therefore, the ratio of the number of quarts of tomato sauce to the number of the basket of tomatoes will be given by 5 : 6 in the simplest form.

If we want to express the ratio of the number of quarts of tomato sauce to the number of the basket of tomatoes in fraction form then it will be $\frac{5}{6}$ in the simplest form. (Answer)

4 0

3 years ago

Subtract - 24 from the sum of 8 and - 14

Marizza181 [45]

Answer:

-18

Step-by-step explanation:

this is because u will add up -14 and 8 and then subtract it with -24 and upon adding -14 and 8 I had -6 so, I subtracted -6 from the -24

and I had -18

8 0

2 years ago

Question 1: Classify the system of equations and identify the number of solutions. 7x + 3y = 10 3y = 9 − 7x Answers: consistent,

Vladimir [108]

Answer:

1. The equations is inconsistent and has no solution

2. The equations is consistent and has no solution

3. A pen costs $1.50 and a notebook costs $2.00

Step-by-step explanation:

Solving $7x + 3y = 10$ and $3y = 9 - 7x$

$7x + 3y = 10$ --- Equation 1

$3y = 9 - 7x$ --- Equation 2

Add 7x to both sides in equation 2

$7x + 3y = 9 - 7x + 7x$

$7x + 3y = 9$ --- Equation 3

Subtract equation 3 from 1

$(7x + 3y = 10) - (7x + 3y = 9)$

$7x - 7x + 3y - 3y = 10 - 9$

$0 + 0 = 1$

$0 \neq 1$

The equations is inconsistent and has no solution

Solving $3x + y = 4$ and $12x + 4y = 16$

$3x + y = 4$ -- Equation 1

$12x + 4y = 16$ ---- Equation 2

Make y the subject of formula in equation 1

$y = 4 - 3x$

Substitute 4 - 3x for y in equation 2

$12x + 4(4 - 3x) = 16$

$12x + 16 - 12x = 16$

Collect Like Terms

$12x - 12x = 16 - 16$

$0 = 0$

The equations is consistent and has no solution

3. Solving <em>John and Harry</em>

Given;

<em>Represent Pen with P and Notes with N</em>

John: $3P + 8N = 20.5$

Harry: $4P + 5N = 16.00$

Required

Find P and N

Make P the subject of formula in equation 2

$4P = 16 - 5N$

$P = \frac{16 - 5N}{4}$

Substitute $P = \frac{16 - 5N}{4}$ in equation 1

$3P + 8N = 20.5$

$3(\frac{16 - 5N}{4}) + 8N = 20.5$

Open the bracket

$\frac{48 - 15N}{4} + 8N = 20.5$

Take LCM

$\frac{48 - 15N + 32N}{4} = 20.5$

$\frac{48 + 17N}{4} = 20.5$

Multiply both sides by 4

$4 * \frac{48 + 17N}{4} = 20.5 * 4$

$48 + 17N = 82$

Subtract 48 from both sides

$48 - 48 + 17N = 82 - 48$

$17N = 82 - 48$

$17N = 34$

Divide both sides by 17

$17N/17 = 34/17$

$N = 34/17$

$N = 2$

Substitute 2 for N in $P = \frac{16 - 5N}{4}$

$P = \frac{16 - 5 * 2}{4}$

$P = \frac{16 - 10}{4}$

$P = \frac{6}{4}$

$P = 1.5$

<em>Hence, a pen costs $1.50 and a notebook costs $2.00</em>

5 0

3 years ago