1) A pair of boots cost $10 more than twice the cost of a pair of shoes. The boots cost $76.50. How much do the shoes cost?
2) You are saving $5 each week to attend a summer program that costs $300. You already have a $50 scholarship for the program. How many weeks of saving do you need?
3) This season a softball player scores 6 runs more than three times the number of runs she bats in. She scores 108 runs this season. How many runs does the player bat in?
4) a movie ticket for an adult costs $8, and a childs ticket costs $5.00. One adult is taking a group of children to the movies. She has $35. How many children can she take with her to the movies?
5) The deepest cave in the world is Voronja Cave in the country of Georgia. It is 5,610 feet deep. This is 1,618 feet less than twice the depth of Kazumura Cave. Find the depth of Kazumura Cave. Please show work please :)
Thank you very much for helping me :)
+110 1.
$${\mathtt{76.5}}{\mathtt{\,-\,}}{\mathtt{10}} = {\frac{{\mathtt{133}}}{{\mathtt{2}}}} = {\mathtt{66.5}}$$
$${\frac{{\mathtt{66.5}}}{{\mathtt{2}}}} = {\frac{{\mathtt{133}}}{{\mathtt{4}}}} = {\mathtt{33.25}}$$
The shoes are $33.25 each pair.
2.
$${\mathtt{300}}{\mathtt{\,-\,}}{\mathtt{50}} = {\mathtt{250}}$$
$${\frac{{\mathtt{250}}}{{\mathtt{5}}}} = {\mathtt{50}}$$
You need 50 weeks of saving.
3.
$${\mathtt{108}}{\mathtt{\,-\,}}{\mathtt{6}} = {\mathtt{102}}$$
$${\frac{{\mathtt{102}}}{{\mathtt{3}}}} = {\mathtt{34}}$$
The player bats in 34 times.
4.
$${\mathtt{35}}{\mathtt{\,-\,}}{\mathtt{8}} = {\mathtt{27}}$$
$${\frac{{\mathtt{27}}}{{\mathtt{5}}}} = {\mathtt{5.4}}$$
She can take 5 children with her (and keeps $2).
5.
$${\mathtt{5\,610}}{\mathtt{\,\small\textbf+\,}}{\mathtt{1\,618}} = {\mathtt{7\,228}}$$
$${\frac{{\mathtt{7\,228}}}{{\mathtt{2}}}} = {\mathtt{3\,614}}$$
The depth of Kazumura Cave is 3614 feet.
I hope I could help you, even tough this is not the best way to learn it ;)
+110 1.
$${\mathtt{76.5}}{\mathtt{\,-\,}}{\mathtt{10}} = {\frac{{\mathtt{133}}}{{\mathtt{2}}}} = {\mathtt{66.5}}$$
$${\frac{{\mathtt{66.5}}}{{\mathtt{2}}}} = {\frac{{\mathtt{133}}}{{\mathtt{4}}}} = {\mathtt{33.25}}$$
The shoes are $33.25 each pair.
2.
$${\mathtt{300}}{\mathtt{\,-\,}}{\mathtt{50}} = {\mathtt{250}}$$
$${\frac{{\mathtt{250}}}{{\mathtt{5}}}} = {\mathtt{50}}$$
You need 50 weeks of saving.
3.
$${\mathtt{108}}{\mathtt{\,-\,}}{\mathtt{6}} = {\mathtt{102}}$$
$${\frac{{\mathtt{102}}}{{\mathtt{3}}}} = {\mathtt{34}}$$
The player bats in 34 times.
4.
$${\mathtt{35}}{\mathtt{\,-\,}}{\mathtt{8}} = {\mathtt{27}}$$
$${\frac{{\mathtt{27}}}{{\mathtt{5}}}} = {\mathtt{5.4}}$$
She can take 5 children with her (and keeps $2).
5.
$${\mathtt{5\,610}}{\mathtt{\,\small\textbf+\,}}{\mathtt{1\,618}} = {\mathtt{7\,228}}$$
$${\frac{{\mathtt{7\,228}}}{{\mathtt{2}}}} = {\mathtt{3\,614}}$$
The depth of Kazumura Cave is 3614 feet.
I hope I could help you, even tough this is not the best way to learn it ;)
