When their report cards came back, pete, chris, and dina realized that the number of a's they each received was in the ratio 4: 2: 5. if pete got 14 more a's than chris, how many a's did dina get?

The number of A's Dina got = 5/11 × 77 = 385 /11 = 35

Step-by-step explanation:

The number of A's Pete , Chris and Dina received are in the ratio of 4:2:5.

Let the total number of A's = y

Total from ratio = 4 + 2 + 5 = 11

chris A's = 2/11 × y  

pete's A's = 2/11 × y + 14 = 4/11 × y

pete's A's

2/11 y + 14 = 4/11 y

14 = 4/11 (y) - 2/11 (y)

14 = 2/11 (y)

cross multiply

2y = 14 × 11

divide both sides by 2

y = 154/2

y = 77

Total number of A's = 77

The number of A's Dina got = 5/11 × 77 = 385 /11 = 35

b. 1.25 hr

step-by-step explanation:

if you have a constant speed of 60 mph, then you have a ratio between 60 mi. to 1 hr. dividing both sides by 60 we get the ratio

1 mi. to

then mult. both sides by 75 we get the ratio

75 mi. to

simplifying we get

75 mi. to

or 1.25 hr.

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step-by-step explanation: