A solar power system generated a total of 450 kilowatt-hours (kWh) of electricity during a… — ACT

A solar power system generated a total of $450$ kilowatt-hours (kWh) of electricity during a 3-day period. On Day 1, the system generated $\frac{2}{9}$ of the total 3-day electricity. On Day 2, it generated $40\%$ of the remaining electricity after Day 1. How many kilowatt-hours of electricity were generated on Day 3?

Cevap: 210 kWh

Cevap

210 kWh

To find the electricity generated on Day 3, first determine the Day 1 portion by multiplying

\frac{2}{9}

450

, which gives

100

kWh. The amount remaining for Days 2 and 3 is

450 - 100 = 350

kWh. Day 2 accounts for

40\%

of this remaining amount, which is

0.40 \times 350 = 140

kWh. Finally, subtract Day 2's portion from the remaining amount:

350 - 140 = 210

kWh.

Adım Adım Çözüm

Calculate the amount of electricity generated on Day 1.

100

kWh

Multiply the fraction

\frac{2}{9}

by the total electricity (

450

kWh).

Determine the remaining electricity after Day 1.

350

kWh

Subtract Day 1's generation (

100

kWh) from the total amount (

450

kWh).

Calculate the amount of electricity generated on Day 2.

140

kWh

Convert

40\%

to a decimal (

0.40

) and multiply by the remaining

350

kWh.

Calculate the amount of electricity generated on Day 3.

210

kWh

Subtract Day 2's generation (

140

kWh) from the

350

kWh remaining after Day 1.

Anahtar Kavram

Multi-step word problems involving fractions, percentage calculations, and remaining quantities.

Tahmini Süre:1m 15s

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