Question

An electronics store received two shipments of radios. Of the 250 radios in the first shipment, exactly 6% were damaged. In the second shipment, 4% of the radios were damaged. A total of 24 radios were damaged. How many radios in the combined shipments were NOT damaged? A. 466 B. 441 C. 451 D. 460

Answer 1

To find the number of radios that were not damaged in the combined shipments, calculate the number of damaged radios in each shipment and subtract that from the total number of radios in the combined shipments.

Step-by-step explanation:

To find the number of radios in the combined shipments that were not damaged, we need to calculate the number of radios that were damaged in each shipment and then subtract that from the total number of radios.

In the first shipment, 6% of 250 radios were damaged, which is (6/100) * 250 = 15 radios. In the second shipment, 4% of the unknown number of radios were damaged, which is (4/100) * x = 0.04x radios. The total number of damaged radios is 24.

So we can set up the equation: 15 + 0.04x = 24. Solving for x, we get x = (24 - 15) / 0.04 = 225. So there were 225 radios in the second shipment. Therefore, the total number of radios in the combined shipments is 250 + 225 = 475. And the number of radios that were not damaged is 475 - 24 = 451.

Answer 2

Total number of not damaged = 451

C. 451

Step-by-step explanation:

In the first shipment, 6% of the 250 radios where damaged.

Number of damaged= 6/100 * 250

Number of damaged= 6*2.5

Number of damaged= 15 radios.

Number of not damaged= 250-15

Number of not damaged = 235 radios

In the second shipment, 4% of the radios were damaged

Let the number of second shipment= y

0.04 of y where damaged

Total number of radio damaged= 24

15 + 0.04y = 24

0.04y= 24-15

0.04y = 9

Y= 9/0.04

Y= 225

Number of radio in the second shipment= 225

Number of damaged in the second shipment= 0.04*225

Number of damaged in the second shipment= 9

Number of not damaged in the second shipment= 225-9

Number of damaged in the second shipment= 216

Total number of not damaged

= 235+216

= 451

Total number of not damaged= 451