Answer:
Minimum cost needed = $221
Remaining quart paint = 7/8
Explanation:
Let
x = number of 1 gallon paints
y = number of 1 quart paints
1 gallon covers 320 square feet
1 quart covers 80 square feet
Number of gallons paint needed = Total siding of the house / 320 square feet
= 2250 / 320
= 7.0312
Approximately to the nearest whole number
Number of gallons paint needed = 7 gallons
Total siding of the house covered by gallons = 7 gallons × 320 square feet
= 2,240 square feet
Siding of the house remaining = Total siding - Siding covered
= 2,250 - 2,240
= 10 square feet
1 quart covers 80 feet
Therefore, 1 quart will cover the remaining 10 square feet
A. The minimum cost of the paint needed to complete the job
Total cost = (Price of gallons × Quantity of gallons needed) + (price of quart × Quantity of quart needed)
= (29 × 7) + (18 × 1)
= 203 + 18
= $221
Minimum cost needed = $221
B. How much paint is left over
Recall
1 quart covers 80 square feet
And remaining siding to be covered = 10 square feet
That is,
10/80 = 1/8 of a quart paint used
Remaining quart paint = 1 - 1/8
= 7/8 quart paint