Question

please help me with this! Marie needs 380 quarts of soil to fill her vegetable planter. A bag of soil contains 64 quarts and costs $9.50. How much will it cost Marie to fill the planter with soil?

A: $47.50
B: $50.00
C: $57.00
D: $66.50

Answer 1

SOLUTION

TO CHOOSE THE CORRECT OPTION

Marie needs 384 quarts of soil to fill her vegetable planter. A bag of soil contains 64 quarts and costs $9.50. How much will it cost Marie to fill the planter with soil

A: $47.50

B: $50.00

C: $57.00

D: $66.50

EVALUATION

SOLVE USING RULES OF THREE

We rewrite the given problem in the table as below :

$\sf{ : \: \: Amount \: of \: Soil \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: Price \: }$

$\sf{ : \: \: \: \: \: \: \: \: \: \: \: \: \: 64\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 9.50 \: }$

$\sf{ : \: \: \: \: \: \: \: \: \: \: \: \: \: 384\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: ? \: }$

Here the Amount of soil and price are in direct proportion

As Amount of soil increases, the price will also increase

So the required price

$\displaystyle \sf{ = 9.50 \times \frac{384}{64} }$

$\displaystyle \sf{ = 9.50 \times 6 }$

$\displaystyle \sf{ =57 }$

Hence the required price is $ 57

FINAL ANSWER

The correct option is C : $ 57.00

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

1. A school bus travels distance of 30 km in 1 hour. How much time it will take to travel distance of 90 km

https://brainly.in/question/28851427

2..A scooter is travelling at uniform speed of 80 km/hr. How much distance it will cover in 24 min.

https://brainly.in/question/31137065

Answer 2

Answer:

Given :-

• Marie need 380 Quarts of soil to fill vegetable planter
• A bag of soil 64 Quart cost $9.50

To Find :-

The cost of planter

Solution :-

Firstly let's convert them into fraction

Let the unknown be x

$\sf \: \dfrac{64}{9.50} = \dfrac{380}{x}$

$\dag {\frak {\underline{By \: Cross \: Multiplication}}}$

$\sf \: 64 \times x = 380 \times 9.50$

$\sf64x = 3610$

$\sf \: x \: = \dfrac{3610}{64}$

$\sf \: x \: = 56.40$

No, Option is correct.