Question

Help me please solve the circled question show your work

Answer 1

Part 1) Use the fact that there are 12 inches in a foot

a) How many inches tall is a 7 foot basketball player?

we know that

1 foot=12 inches

so by proportion

`(12)/(1) (inches)/(foot) =(x)/(7) (inches)/(feet) \\ \\x=12*7\\ \\x=84\ inches`

therefore

the answer Part 1a) is

`84\ inches`

Part b) If a yard is a 3 feet long, how many inches are in a yard?

we know that

1 yard=3 feet

1 foot=12 inches

so

Convert 3 feet to inches

by proportion

`(12)/(1) (inches)/(foot) =(x)/(3) (inches)/(feet) \\ \\x=12*3\\ \\x=36\ inches`

therefore

the answer Part 1b) is

`36\ inches`

Part 2) At the farmer's market two pounds of peaches cost $4.20 How much will five pounds cost?

by proportion

`(4.20)/(2) (\$)/(pounds) =(x)/(5) (\$)/(pounds) \\ \\2*x=4.2*5\\ \\x=4.2*5/2=\$10.5`

therefore

the answer Part 2) is

`\$10.5`

Part 3) Janice mother gave her a ten dollars bill to buy five pounds each of bananas and apples at the grocery store. When she got there she found that bananas were 80 c per pound and apples were $1.40 per pound.

Did Janice's mother give her enough money? If so, should she receive any change? If not, how much more money does she need?

we know that

Find the cost of the bananas

`5\ pounds*0.80(\$)/(pounds)=\$4`

Find the cost of the apples

`5\ pounds*1.40(\$)/(pounds)=\$7`

Sum the cost of the bananas and the cost of the apples

`\$4+\$7=\$11`

`\$11 > \$10`------> Janice's mother didn't give her enough money

She needs more money

She needs------->
`\$11-\$10=\$1`

therefore

the answer part 3) is

She needs
`\$1` more