Answer:
7)
GIVEN :-
- Flat fee = $5
- Amount you receive on walking a mile = $2
TO FIND :-
- Expression for the total money you'll collect from your sponsor
- Money you receive for walking 20 miles
PROCEDURE :-
Lets assume that you walk 'x' miles.
For 1 mile , you'll get $2.
⇒ For 'x' miles , you'll get = [tex]2 \times x[/tex] = $(2x)
So,
Total money you'll receive from your sponsor after walking 'x' miles = (Flat fee) + (Amount you'll receive for walking 'x' miles)
⇒ $5 + $(2x)
⇒ $(2x + 5)
∴ Money you'll receive after walking 20 miles = $(2 × 20 + 5) = $45
8)
GIVEN :-
- Number of tomatoes he already has = 6
- Number of tomatoes needed to win the contest = 30
- Number of tomatoes he needs to produce per week = 8
TO FIND :-
- Number of weeks he needs to produce 30 tomatoes
PROCEDURE :-
Let the number of weeks he needs to produce 30 tomatoes be x.
In 1 week , he needs to produce 8 tomatoes.
⇒ In 'x' weeks , he needs to produce = [tex]8 \times x = 8x[/tex] tomatoes.
So,
(Number of tomatoes he produces in 'x' weeks) + (number of tomatoes he already has) = Number of tomatoes he needed to win the contest
⇒ [tex]8x + 6 = 30[/tex]
⇒ [tex]8x = 30 - 6 = 24[/tex]
⇒ [tex]x = \frac{24}{8} = 3[/tex]
∴ He needs 3 weeks to produce 30 tomatoes.
